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LAXMI INSTITUTE OF TECHNOLOGY, SARIGAM

COURSE FILE

Subject Name : Vehicle Kinematics and Dynamics

Subject Code : 3340202

Course Name :Diploma Engineering

Semester : 4th

DEPARTMENT OF AUTOMOBILE ENGINEERING

Index

Sr. No.

Particulars

1 Scheme

2 Syllabus

3 Lecture Plan

4 List of Books

5 Tutorial Sheets

6 Assignments

7 MID Question Papers

8 Gtu Question Paper

Course of Study and Scheme of Examination for Batch starting from December 2018

DE-4th Semester

(AUTOMOBILE NGINEERING)

Teaching Scheme

(In Hours)

Examination Scheme

Total Credits

(L+T+P)

Theory Marks

Practical Marks

Total

L T P C ESE PA ESE PA 100

4 2 0 6 70 30 00 00

Vehicle Kinematics and Dynamics Course Code: 3340202

GTU/ NITTTR Bhopal/13-14 Gujarat State

GUJARAT TECHNOLOGICAL UNIVERSITY, AHMEDABAD, GUJARAT

COURSE CURRICULUM

COURSE TITLE: VEHICLE KINEMATICS & DYNAMICS

(Code: 3340202)

Diploma Programme in which this course is offered Semester in which offered

Automobile Engineering 4th

Semester

1. RATIONALE

This subject is concerned with the movements of vehicle on a road surface. The

movements of interest are acceleration, braking, ride and turning. Dynamic behavior is

determined by the forces imposed on the vehicles from the tires, gravity and

aerodynamics. Dynamics is the branch of Theory of Machine which deals with the forces

and their effects acting on the components of machine so first chapter is related to

introduction to theory of machine. The rest course is designed to provide understanding

about effects of various unbalanced forces, its effects on the various components of

vehicle and method to balance that unbalanced forces for getting smooth operation and

long life of the vehicle. This course also aims to build higher level cognitive skill of future

technicians for analyzing vehicle performance against various resistances acting on it

during operation, vibrations and its effects with respect to ergonomics of the vehicle. The

knowledge of this subject is essential to design aerodynamics shapes of car body, to

calculate equivalent weight and maximum acceleration, desired power to propel the

vehicle.

2. COMPETENCY

The course content should be taught and curriculum should be implemented with the aim to

develop different types of skills leading to the achievement of the following competency

Use knowledge of Kinematics and Dynamics in manufacturing and maintenance

of automobile systems for vehicle operation and performance.

3. COURSE OUTCOMES (CO’s)

The theory should be taught and practical should be carried out in such a manner that

students are able to acquire different learning out comes in cognitive, psychomotor and

affective domain to demonstrate following course outcomes.

i. Explain basic terminology related theory of machine and vehicle dynamics with their

appropriate examples

ii. Solve numerical problems of Rotating mass or Reciprocating mass balancing in the

same or different planes applying graphical and/or analytical method.

iii. Identify causes of vibration and factors affecting human comfort in a vehicle

iv. Derive and apply equation of true rolling condition for solving numerical



v. Determine various performance parameters for given operating conditions and

braking of vehicle

vi. Explain various types of suspension system used in vehicles

vii. Describe various factors affecting tyre life and which are responsible for vehicle

performance

4. TEACHING AND EXAMINATION SCHEME

Teaching Scheme

(In Hours)

Total Credits

(L+T+P)

Examination Scheme

Theory Marks Practical Marks Total

Marks

L T P C ESE PA ESE PA

100

4

2

0

6

70

30

00

00

Legends: L-Lecture; T – Tutorial/Teacher Guided Student Activity; P - Practical; C –

Credit;; ESE - End Semester Examination; PA - Progressive Assessment.

5. DETAILED COURSE CONTENTS

Unit Major Learning Outcomes

(in cognitive domain) Topics and Sub-topics

Unit– I

Introduction

to Theory of

Machine and

Vehicle

Dynamics

1a. Explain the division of

theory of machine

1b. Differentiate Mechanism,

Structure and Machine

1c. Classify different types of

kinematic pair with their

examples

1d. Describe inversions of

mechanism with neat sketch

1e. Describe various forces and

moments acting on a

vehicle.

1.1 Introduction to theory of machine

1.2 Basic terminology related to theory of

machines like kinematic link, kinematic pair,

kinematic chain, mechanism, structure,

machine, degree of freedom for plane

mechanism.

1.3 Different types of basic mechanisms used

in Automobile System like

- Four bar Mechanism.

- Single and Double Slider Crank

Mechanisms.

- Cam and Follower Mechanism with their

types

1.4 Introduction to vehicle dynamics

- Drag, Lift, Side force, rolling moment,

pitching moment, yawing moment,

- Dynamic load on axle





Unit – II

Balancing

2a. Define Static and dynamic

Balancing, Primary and

Secondary Balancing

2b. Derive an expression for

determining value of

balancing mass at given

radius for given unbalanced

Rotating or Reciprocating

Masses in the same or

different planes

2c. Explain Effects of unbalance

primary force in

reciprocating engines

2d. Solve numerical of Rotating

mass or Reciprocating mass

balancing in the same or

different planes applying

graphical and/or analytical

method

2.1 Need of Balancing, Static and Dynamic

Balancing

2.2 Balancing of rotating mass.

2.3 Balancing of single rotating mass.

2.4 Balancing of several rotating masses.

2.5 Primary and secondary unbalanced forces

of reciprocating masses.

2.6 Partial balancing of unbalanced primary

force in reciprocating engines.

2.7 Variation of tractive force, Swaying

couple and Hammer blow with respect to

locomotive engine.

2.10 Balancing of primary forces of multi

cylinder in-line engine.

2.11 Balancing of secondary forces of

multicylinder in-line engine.

Unit – III

Vehicle

Vibrations

&

Ergonomics

3a. Define various terminologies

related to Vibrations

3b. Explain causes of vibration

3c. Explain the concept of

ergonomic with reference to

vehicle

3.1 Definitions of Terminologies related to

Vibrations

3.2 Sources of vibration in a vehicle, isolation

3.3 Vibration isolation in a vehicle

3.3 Vehicle Vibration and human comfort

3.4 Factors affecting human comfort in a

vehicle

Unit– IV

Steering

Mechanism

4a. Differentiate types of

Steering Mechanisms

4b. Derive and Apply equation

of true rolling condition for

solving numerical

4c.Derive an equation for

Turning circle radius

4.1 Ackerman steering Mechanism

4.2 Condition for true rolling

4.3 Turning circle radius

Unit–V

Vehicle

Performance

5a. Explain effects of various

resistances on vehicle

performance.

5b. Derive relations between

various terms responsible

for vehicle performance

5c. Determine various

performance parameters for

given operating conditions

and braking of vehicle

5.1 Various resistances to vehicle.

5.2 Power for propulsion

5.3 Traction and tractive effort

5.4 Relation between engine speed and

vehicle speed

5.5 Acceleration, drawbar pull and grade

ability

5.6 Distribution of weight in three wheeled

and four wheeled vehicle

5.7 Stability of vehicle on slope

5.8 Calculation of maximum acceleration,

maximum tractive effort and relation for

different drives

5.9 Factors affecting braking efficiency.

5.10 Calculation of stopping distance.( when





brakes are applied to front wheel, rear wheels

and four wheels)

5.11 Braking of vehicle on curved path

Unit VI

Suspension

and Tyres

6a. Explain the function of

suspension with respect to

force generation

6b. Explain various types of

suspension system

6c. Describe various

terminologies related to tyre

which is responsible for

vehicle performance

6.1 Function of suspension system(Ride

control, height control, roll control, dive and

squat control, road holding)

6.2 Types of front and rear suspension (Solid

axles (Hotchkiss, Four Link, DeDion ),

Independent suspensions (SLA

Front Suspension, Macpherson Strut,

Trailing-Arm Rear Suspension, Semi-

Trailing Arm, Swing Axle, Multi link rear

suspension)

6.3 Roll axis and effect of side forces.

6.4 Tyre construction, size and load rating,

various terminologies related to tyre, concept

of mechanism of force generation in tyre.

6. SUGGESTED SPECIFICATION TABLE WITH HOURS & MARKS (THEORY )

Unit

No.

Unit Title

Teaching

Hours

Distribution of Theory

Marks

(Duration – …..Hours)

R

Level

U

Level

A

Level

Total

1. Introduction to theory of machine

and vehicle dynamics.

10 04 07 03 14

2. Balancing. 14 00 07 07 14

3. Vehicle vibration &

Ergonomics.

05 03 04 00 07

4. Steering mechanism. 05 00 03 04 07

5. Vehicle.Performance 14 00 11 07 18

6. Suspension and tyre. 08 07 03 00 10

Total 56 14 35 21 70

Legends: R = Remember, U = Understand, A= Apply and above Level (Bloom’s revised taxonomy) Note: This specification table shall be treated as a general guideline for students and

teachers. The actual distribution of marks in the question paper may vary slightly from above

table



7. SUGGESTED LIST OF TUTORIAL

S.

No.

Unit

No.

Tutorial/Exercises Approx.

Hrs.

Required

1 I Exercise on theory of machine 02

2 II Exercise on balancing of rotating mass. 04

3 II Exercise on balancing of reciprocating mass. 04

4 III Exercise on vibration and ergonomics 04

5 IV Exercise on steering mechanism. 04

6 VI Exercise on suspension system and tyre 04

7 V Exercise on vehicle performance. 06

Total 28

8.SUGGESTED LIST OF PROPOSED STUDENT ACTIVITIES

Following is the list of proposed student activities such as:

i. Seminars using power point presentations including video/animation to get better

understanding of various components of mechanisms, pairs, joints, inversions etc and

their working.

ii. Group discussion on various parameters to be considered for aerodynamic design, vehicle

performance etc., mini-projects to develop model of various mechanisms for specific

task, internet based assignments, teacher guided self learning activities,

course/library/internet/lab based mini-projects etc. These could be individual or group-

based.

iii. Case studies from real life problems of balancing, vibration etc.

9. SPECIAL INSTRUCTIONAL STRATEGIES (If any)

i. Presentation through video/animation to explain working of various mechanisms and

their inversions.

ii. Power point presentation showing wheel balancing, balancing of reciprocating masses,

various types of vibrations, its effect and remedies to reduce it, vehicle performance

testing etc.

iii. Chart and models showing models of various mechanisms and their inversions.

iv. Assignments to solve problems related to balancing, steering mechanism, vehicle

performance etc.

10. SUGGESTED LEARNING RESOURCES

A. List of Books

S.No. Author Title of Books Publication

1 Thomas D.

Gallespie

Fundamentals of vehicle

dynamics

SAE.

2 Oleg

Vinogradov

Fundamentals of kinematics

and dynamics of machine and

machanisms.

CRC Press



S.No. Author Title of Books Publication

3 N.K. Giri Automobile Mechanics Khanna Publishers, Delhi

4 R.S. Khurmi Theory of Machines Eurasia Publishing house (P)

Ltd. New Delhi

5 R.S. Khurmi;

J.K. Gupta

Theory of Machines S. Chand and Compny., New

Delhi

6 S.S. Rattan Theory of Machines Tata Mc Graw-Hill Pub., New

Delhi

7 V. P. singh Theory of Machines in SI

Units

Dhanpat Rai and Co (P) Ltd.

New Delhi

8 J. Shigley Theory of Machines and

Mechanisms

McGraw Hill International.

New Delhi

9 J. R. Ellis Vehicle dynamics Business Books, 1969

10 W. steeds Mechanics of road vehicle Iliffe, 1960

B. List of Major Equipment/ Instrument

i. Charts for various mechanisms and their inversions.

ii. Models for various mechanisms and their inversions.

iii. Rotating mass balancing equipment.

iv. Universal Vibration Apparatus.

C. List of Software/Learning Websites

i. http://www.youtube.com/watch?v=GBnk0iRxEqY (Ackerman Steering Mechanism)

ii. http://www.youtube.com/watch?v=YzGM8Uc2HB0 (Davis Steering Mechanism)

iii. http://www.youtube.com/watch?v=hvpFcSPtDV0 (Balancing)

iv. http://www.youtube.com/watch?v=y60dTiuJv24 (Balancing)

v. http://www.youtube.com/watch?v=OfTpw4L9y4Y

vi. http://www.bandgmachine.com/news-media/videos/video-balancing/

vii. http://www.youtube.com/watch?v=XAgRNI6tY58

viii. http://www.youtube.com/watch?v=lLqF7A3SAXE (Vibration of a Steering Wheel)

ix. http://www.youtube.com/watch?v=qhF3I5ylIHM (Wheel Alignment)

11. COURSE CURRICULUM DEVELOPMENT COMMITTEE

Faculty Members from Polytechnics

Prof. M. J. Pathak, H.O., Automobile Engineering Department., Sir Bhavsinhji

Polytechnic Inst., Bhavnagar.

Prof. M. N. Vibhakar, Lecturer, Automobile Engineering Department. Dr.S&SS

Gandhi Polytechnic, Surat

Prof. S.V. Trivedi, H.O.D., Automobile Engineering Department, Parul Institute of

Technology, Vadodara.

Prof. A. C. Suthar Lecturer, Automobile Engineering Department, M. L. Institute

of Diploma Studies, Bhandu

http://www.youtube.com/watch?v=GBnk0iRxEqY

http://www.youtube.com/watch?v=YzGM8Uc2HB0

http://www.youtube.com/watch?v=hvpFcSPtDV0

http://www.youtube.com/watch?v=y60dTiuJv24

http://www.youtube.com/watch?v=OfTpw4L9y4Y

http://www.youtube.com/watch?v=XAgRNI6tY58

http://www.youtube.com/watch?v=lLqF7A3SAXE

http://www.youtube.com/watch?v=qhF3I5ylIHM



Coordinator and Faculty Members from NITTTR,Bhopal

Dr. C. K. Chugh, Professor, Department of Mechanical Engineering

Dr. K. K. Jain, Professor, Department of Mechanical Engineering

LECTURE PLAN

TOPIC No. TOPIC TO BE COVERED

TEACHING HOURS

1. Introduction to theory of machine 1 2. Basic terminology related to theory of machines like kinematic link,

kinematic pair, kinematic chain, 1

3. mechanism, structure, machine 1 4. Degree of freedom for plane mechanism. 1 5. Four bar Mechanism and Inversion 1 6. Single and Double Slider Crank Mechanisms and Inversion 1 7. Cam and Follower Mechanism with their types 1 8. Introduction to vehicle dynamics - Drag, Lift, Side force, 1 9. Rolling moment, pitching moment, yawing moment, - 1 10. Dynamic load on axle 1

11. Need of Balancing 1 12. Static and Dynamic Balancing 1 13. Balancing of rotating mass. 1 14. Balancing of single rotating mass 1 15. Balancing of several rotating masses 1 16. Examples based on Balancing of several rotating masses 1 17. Examples based on Balancing of several rotating masses 1 18. Velocity and Acceleration of Reciprocating Parts 1 19. Primary and secondary unbalanced forces of reciprocating masses. 1 20. Partial balancing of unbalanced primary force in reciprocating engines 1 21. Partial balancing of unbalanced primary force in reciprocating engines 1 22. Variation of tractive force, Swaying couple and Hammer blow with

respect to locomotive engine 1

23. Balancing of primary forces of multi cylinder in-line engine 1 24. Balancing of secondary forces of multicylinder in-line engine. 1 25. Definitions of Terminologies related to Vibrations 1 26. Sources of vibration in a vehicle, Isolation 1 27. Vibration isolation in a vehicle 1 28. Vehicle Vibration and human comfort 1 29. Factors affecting human comfort in a vehicle 1 30. Differentiate types of Steering Mechanisms 1 31. Equationof true rolling condition for solving numerical 1 32. Ackerman steering Mechanism 1 33. Davis steering Mechanism 1 34. Turning circle radius 1

35. Various resistances to vehicle 1

36. Power for propulsion 1 37. Traction and tractive effort 1 38. Relation between engine speed and vehicle speed 1 39. Acceleration, drawbar pull and grade ability 1 40. Distribution of weight in three wheeled and four wheeled vehicle 1 41. Stability of vehicle on slope 1 42. Calculation of maximum acceleration, maximum tractive effort and

relation for different drives 1

43. Factors affecting braking efficiency 1 44. Calculation of stopping distance. 1 45. Braking of vehicle on curved path 1 46. Examples based on calculation of maximum acceleration, maximum

tractive effort and relation for different drives 1

47. Examples based on Calculation of stopping distance. 1 48. Examples based on Calculation of stopping distance. 1 49. Function of suspension system(Ride control, height control, roll

control, dive and squat control, road holding) 1

50. Types of front and rear suspension - Solid axles ,Hotchkiss, Four Link, DeDion

1

51. Independent suspensions - SLA Front Suspension 1 52. Macpherson Strut, Trailing-Arm Rear Suspension 1

53. Semi Trailing Arm, Swing Axle, Multi link rear suspension 1 54. Roll axis and effect of side forces 1 55 Tyre construction, size and load rating, 1

56. Various terminologies related to tyre, concept of mechanism of force generation in tyre.

1

REFERENCE BOOK

Sr. No. Author Title of Books Publication 1 Thomas D. Gallespie Fundamentals of vehicle

dynamics SAE.

2 Oleg Vinogradov Fundamentals of kinematics and dynamics of machine and machanisms.

CRC Press

3 N.K. Giri Automobile Mechanics Khanna Publishers, Delhi

4 R.S. Khurmi Theory of Machines Eurasia Publishing house (P) Ltd. New Delhi

5 R.S. Khurmi; J.K. Gupta Theory of Machines

S. Chand and Compny., New Delhi

6 S.S. Rattan Theory of Machines Tata Mc Graw-Hill Pub., New Delhi

7 V. P. singh Theory of Machines in SI Units

Dhanpat Rai and Co (P) Ltd. New Delhi

8 J. Shigley Theory of Machines and Mechanisms

McGraw Hill International. New Delhi

9 J. R. Ellis Vehicle dynamics Business Books, 1969 10 W. steeds Mechanics of road vehicle Iliffe, 1960

TUTORIALS/ ASSIGNMENTS

Sr. No.

Unit No. Tutorial/Exercises

Approx. Hrs.

Required

1 I Exercise on theory of machine 02

2 II Exercise on balancing of rotating mass. 04

3 II Exercise on balancing of reciprocating mass. 04

4 III Exercise on vibration and ergonomics 04

5 IV Exercise on steering mechanism. 04

6 VI Exercise on suspension system and tyre 04

7 V Exercise on vehicle performance. 06

Total 28

Laxmi Institute of Technology , Sarigam Approved by AICTE, New Delhi; Affiliated to Gujarat Technological University, Ahmadabad

Dept. of Automobile Engg., Diploma

Subject: VK&D

Assignment - 01 Sr. No. Name of Question

1 What is vehicle dynamics in short?

2 Write down difference between kinematics and dynamics

3 Differentiate Lower Pair Higher pair

4 Classify different types of kinematic pair with their examples.

5 Classification of kinematic link.

6 Write difference between rigid link and flexible link.

7 Define Machine and Mechanism.

8 What is inversion of mechanism?

9 Define degree of freedom

10 Explain Four bar Mechanism with neat sketch.

11 Draw neat sketch of slider crank mechanism

12 Explain Double Slider Crank Mechanisms

13 Write down the various types of cam.

14 Draw neat sketch of any two types of follower

15 Define the term (1) Lift and (2) Drag.

16 Define rolling moment and pitching moment.



Subject: VK&D Assignment - 03

Sr. No. Name of Question

1 Define (1) free vibration (2) forced vibration (3) cycle (4) frequency (5) amplitude (6) Resonance

2 Write down the source of vibration in vehicle.

3 Explain the factors affecting the human comfort in vehicle.

4 Explain vibration isolation in a vehicle.





1 State need of balancing. (Why balancing is needed?)

2 Write down difference between static balancing and dynamics balancing

3 How the different masses rotating in different planes are balanced?

4 How several mass rotating in the same plane are balanced?

5 Derive an equation of variation of tractive force.

6 Explain swaying couple and hammer blow.

7 Explain balancing of primary forces and Secondary forces in multi cylinder in-line engine.

8 Four masses m1, m2, m3 and m4 are attached to a shaft and revolve in the same Plane. The masses are 16 kg, 14 kg, 18 kg and 19 kg respectively and their radii of rotations are 70 mm, 60 mm, 50 mm and 40 mm. the angular position of the masses m2, m3 and m4 are 70°, 120° and 270° from the mass m1. Find the magnitude and position of the balancing mass at radius of 100 mm in the same plane.

9 Four masses m1, m2, m3 and m4 are 200 kg, 300 kg, 240 kg and 260 kg respectively. The corresponding radii of rotation are 0.2m, 0.15m, 0.25m and 0.3 m respectively and the angles between successive masses are 45º, 75º and 135º. Find the position and magnitude of the balance mass required, if its radius of rotation is 0.2 m.

10 Three masses m1(3kg), m2(4kg), m3(2kg) at radial dist r1(30mm), r2(20mm), r3(25mm) and inclined at ϴ1(30o),ϴ2(120o),ϴ3(270o). For the static balancing find the Balancing mass (at radial distance of 35mm) weight and its angular position w.r.t. horizontal. Use Analytical method to solve the problem.

11 Four masses A, B, C, D are attached to a shaft and revolve in the same plane. The masses are 25 kg, 35 kg, 20 kg & 30 kg respectively and their radii of rotation are 40 mm, 20 mm, 50 mm and 30 mm. The angular position of B, C, D with respect to A are ْ◌60o, 125o & 210o respectively. Find the magnitude and position of balancing mass at a radius of 30mm in the same plane.



Subject:VK&D Assignment - 04


1 Write down the equation of turning circle radius for both front wheels.

2 State condition for true rolling and explain Ackerman steering mechanism.

3 A truck has pivot pins at 1.37m apart, the length of each track arm is 0.17m and the

track rod is behind front axle is 1.17m. Determine the wheel base for true rolling of all

wheels when inner stub axle is 600 to the center line of the car.





1 Explain 1.Rolling Resistance 2. Air Resistance (Write down various resistances to motion of vehicle)

2 What is Traction and tractive effort? 3 What is the meaning of 1 in 5 as a gradiability concern? 4 Derive an equation for distribution of weight for four wheeler vehicle. 5 Explain in short Stability of vehicle on slope also derive the equation. 6 Write down the turning circle radius equation for all wheel of a vehicle. 7 Define the term – braking efficiency and List various factors affecting braking efficiency. 8 Derive an equation for max. Acceleration, for rear wheel drive vehicle. 9 Draw road performance curve of Road speed Vs Tractive effort.

10 Draw road performance curve of Road speed Vs power. 11 A motor car has a wheel base of 2.64m, the height of its CG above the ground is 0.61m

and it is 1.12m in front of the rear axle. If the car is travelling at 40km/h on a level track, determine the minimum distances in which the car may be stopped when, (1) the rear wheel are braked, (2) the front wheels are braked and (3) all wheels are braked. The coefficient of friction is 0.6

12 A truck weighing 58860N has a frontal area of 5.6 m2. The overall top gear ratio and second gear ratio are 5:1 and 15:1 respectively. The transmission efficiencies in top gear and second gear are 90% and 80% respectively. The rolling resistance is 20N per 1000N of truck weight and the air resistance co-efficient is 0.04. if the speed of truck on level road is 80km/h then calculate

13 The engine brake power at this speed Weight- 44 KN Frontal area: 5.4 m2 Wheel diameter: 0.8125 m Co-efficient rolling resistance: 0.018 Co-efficient of air resistance: 0.0276 Maximum speed in top gear: 88km/hr Top gear ratio: 6.2:1 Transmission efficiency: 90% Find: (1) the engine power required at top speed in top gear (2) Engine speed (rpm) at above car speed





1 State Function of suspension system. (Why suspension is required?)

2 State different types of suspension spring.

3 Differentiate between full floating and semi floating axle

4 Draw neat sketch of MacPherson strut type suspension

5 Differentiate between Rigid axle and independent front suspension system.

6 Explain constructional details of tubeless tyre.

7 Write down the difference between tube tyre and tubeless tyre.

QUESTION BANK Vehicle Kinematics and Dynamics

Vehicle Kinematics and Dynamics (3340202) Page 1

CHAPTER 1-INTRODUCTION TO THEORY OF MACHINE AND

VEHICLE DYNAMICS

1. What is vehicle dynamics in short?

2. Write down difference between kinematics and dynamics

3. Differentiate Lower Pair Higher pair

4. Classify different types of kinematic pair with their examples.

5. Classification of kinematic link.

6. Write difference between rigid link and flexible link.

7. Define Machine and Mechanism.

8. What is inversion of mechanism?

9. Define degree of freedom

10. Explain Four bar Mechanism with neat sketch.

11. Draw neat sketch of slider crank mechanism

12. Explain Double Slider Crank Mechanisms

13. Write down the various types of cam.

14. Draw neat sketch of any two types of follower

15. Define the term (1) Lift and (2) Drag.

16. Define rolling moment and pitching moment.

CHAPTER 2-BALANCING

1. State need of balancing. (Why balancing is needed?)

2. Write down difference between static balancing and dynamics balancing

3. How the different masses rotating in different planes are balanced?

4. How several mass rotating in the same plane are balanced?

5. Derive an equation of variation of tractive force

6. Explain swaying couple and hammer blow

7. Explain balancing of primary forces and Secondary forces in multi cylinder in-line

engine

8. Four masses m1, m2, m3 and m4 are attached to a shaft and revolve in the same

Plane. The masses are 16 kg, 14 kg, 18 kg and 19 kg respectively and their radii of

rotations are 70 mm, 60 mm, 50 mm and 40 mm. the angular position of the masses

m2, m3 and m4 are 70°, 120° and 270° from the mass m1. Find the magnitude and

position of the balancing mass at radius of 100 mm in the same plane.

9. Four masses m1, m2, m3 and m4 are 200 kg, 300 kg, 240 kg and 260 kg respectively.

The corresponding radii of rotation are 0.2m, 0.15m, 0.25m and 0.3 m respectively

and the angles between successive masses are 45º, 75º and 135º. Find the position and

magnitude of the balance mass required, if its radius of rotation is 0.2 m.

10. Three masses m1(3kg), m2(4kg), m3(2kg) at radial dist r1(30mm), r2(20mm),

r3(25mm) and inclined at ϴ1(30o),ϴ2(120o),ϴ3(270o). For the static balancing find

the Balancing mass (at radial distance of 35mm) weight and its angular position w.r.t.

horizontal. Use Analytical method to solve the problem.



11. Four masses A, B, C, D are attached to a shaft and revolve in the same plane. The

masses are 25 kg, 35 kg, 20 kg & 30 kg respectively and their radii of rotation are 40

mm, 20 mm, 50 mm and 30 mm. The angular position of B, C, D with respect to A

are ْ 60o, 125o & 210o respectively. Find the magnitude and position of balancing

mass at a radius of 30mm in the same plane.

CHAPTER 3-VEHICLE VIBRATIONS AND ERGONOMICS

1. Define (1) free vibration (2) forced vibration (3) cycle (4) frequency (5) amplitude

(6) Resonance

2. Write down the source of vibration in vehicle.

3. Explain the factors affecting the human comfort in vehicle.

4. Explain vibration isolation in vehicle.

CHAPTER 4- STEERING MECHANISM

1. Write down the equation of turning circle radius for both front wheels.

2. State condition for true rolling and explain Ackerman steering mechanism.

3. A truck has pivot pins at 1.37m apart, the length of each track arm is 0.17m and the

track rod is behind front axle is 1.17m. Determine the wheel base for true rolling of all

wheels when inner stub axle is 600 to the center line of the car.

CHAPTER 5-VEHICLE PERFORMANCE

1. Explain 1.Rolling Resistance 2. Air Resistance (Write down various resistances to

motion of vehicle)

2. What is Traction and tractive effort?

3. What is the meaning of 1 in 5 as a gradiability concern?

4. Derive an equation for distribution of weight for four wheeler vehicle.

5. Explain in short Stability of vehicle on slope also derive the equation.

6. Write down the turning circle radius equation for all wheel of a vehicle.

7. Define the term – braking efficiency and List various factors affecting braking

efficiency.

8. Derive an equation for max. Acceleration, for rear wheel drive vehicle.

9. Draw road performance curve of Road speed Vs Tractive effort.

10. Draw road performance curve of Road speed Vs power.

11. A motor car has a wheel base of 2.64m, the height of its CG above the ground is 0.61m

and it is 1.12m in front of the rear axle. If the car is travelling at 40km/h on a level track,

determine the minimum distances in which the car may be stopped when, (1) the rear

wheel are braked, (2) the front wheels are braked and (3) all wheels are braked. The

coefficient of friction is 0.6

12. A truck weighing 58860N has a frontal area of 5.6 m2. The overall top gear ratio and

second gear ratio are 5:1 and 15:1 respectively. The transmission efficiencies in top



gear and second gear are 90% and 80% respectively. The rolling resistance is 20N per

1000N of truck weight and the air resistance co-efficient is 0.04. if the speed of truck

on level road is 80km/h then calculate

1. The engine brake power at this speed

2. The engine rpm if the wheel diameter is 0.8m

3. The maximum grade that the truck can negotiate in second gear.

13. The car has the following data

Weight- 44 KN Frontal area: 5.4 m2

Wheel diameter: 0.8125 m

Co-efficient rolling resistance: 0.018

Co-efficient of air resistance: 0.0276

Maximum speed in top gear: 88km/hr

Top gear ratio: 6.2:1

Transmission efficiency: 90%

Find: (1) the engine power required at top speed in top gear

(2) Engine speed (rpm) at above car speed

CHAPTER 6-SUSPENSION AND TYRES

1. State Function of suspension system. (Why suspension is required?)

2. State different types of suspension spring.

3. Differentiate between full floating and semi floating axle

4. Draw neat sketch of MacPherson strut type suspension

5. Differentiate between Rigid axle and independent front suspension system.

6. Explain constructional details of tubeless tyre.

7. Write down the difference between tube tyre and tubeless tyre.

Laxmi Institute of Technology, Sarigam Approved by AICTE, New Delhi; Affiliated to Gujarat Technological University, Ahmedabad

Academic Year 2018-19 Centre Code: 691 Examination : MID – I Examination Branch: AUTOMOBILE Semester: 4TH Sub Code:3340202 Sub: VK&D Date:29/01/2019 Time: 10:30AM to 11:30 AM Marks: 20 Note: English version is Authentic. Q.1 List the names of inversion of slider crank mechanism and explain any Two. 5 Q.1 OR List the names of inversion of Four bar chain and explain any Two. 5 Q.2 Four masses m1, m2, m3 and m4 are attached to a shaft and revolve in the same Plane.

The masses are 16 kg, 14 kg, 18 kg and 19 kg respectively and their radii of rotations are 70 mm, 60 mm, 50 mm and 40 mm. the angular position of the masses m2, m3 and m4 are 70°, 120° and 270° from the mass m1. Find the magnitude and position of the balancing mass at radius of 100 mm in the same plane.

5

Q.2 OR Four masses m1, m2, m3 and m4 are 200 kg, 300 kg, 240 kg and 260 kg respectively. The corresponding radii of rotation are 0.2m, 0.15m, 0.25m and 0.3 m respectively and the angles between successive masses are 45º, 75º and 135º. Find the position and magnitude of the balance mass required, if its radius of rotation is 0.2 m.

5

Q.3 Draw neat sketch of any two types of follower. 5 Q.3 OR Classification of kinematic link. 5 Q.4 Define the term (1) Lift (2) Drag (3) Rolling moment and (4) Pitching moment. 5 Q.4 OR Explain Tractive Effort and swaying couple in single slider crank mechanism. 5

Laxmi Institute of Technology, Sarigam Approved by AICTE, New Delhi; Affiliated to Gujarat Technological University, Ahmedabad

Academic Year 2018-19 Centre Code: 691 Examination : MID – I Examination Branch: AUTOMOBILE Semester: 4TH Sub Code:3340202 Sub: VK&D Date:29/01/2019 Time: 10:30AM to 11:30 AM Marks: 20 Note: English version is Authentic. Q.1 લાઇડર ક િમકિનઝમના ઇનવઝનના નામની ૂચ બનાવો અને કોઈપણ બે સમ વો. 5

Q.1 OR ફોર બાર ચેઇનના ઇનવઝનના નામની ૂચ બનાવો અને કોઈપણ બે સમ વો. 5

Q.2 ચાર દળો m1, m2, m3 અને m4 શા ટથી જોડાયેલા છે અને તે જ લનેમા ંગોળ ફર છે. ચારય દળો અ ુ મે 16 કલો, 14 ક ા, 18 ક. ા અને 19 ક ા છે અને તેના પ ર મણની િ યા 70 મીમી, 60 મીમી, 50 મીમી અને 40 મીમી છે. દળો m2, m3 અને m4 ની કોણીય થિત સા ૂહક m1 ની સાપે ે 70°,

120° અન ે270° છે. સં ુલત બળ ુ ં ૂ ય અન ે થાન શોધો જો સં ુલત બળની પ ર મણની િ યા 100 મીમીના હોય.

5

Q.2 OR ચાર દળો m1, m2, m3 અને m4 ક ના ૂ યો અ ુ મે 200 ક ા ,300 ક ા, 240 ક. ા અને 260 ક ા છે દળો ની પ ર મણની િ યા 0.2 મીમી, 0.15 મીમી, 0.25 મીમી અને 0.3 મીમી છે. અને દળોની એકબી ની સાપે ે કોણીય થિત 45°, 75° અને 135° છે. સં ુલત બળ ુ ં ૂ ય અને થાન શોધો જો સં ુલત બળની પ ર મણની િ યા 0.2 મીમીના હોય.

5

Q.3 કોઈપણ બે ફોલોવરઓની ઘુડ કચ દોરો. 5

Q.3 OR કાઈનમેે ટક લક ુ ંવગ કરણ કરો. 5

Q.4 યા યા આપો: (૧) લ ટ (૨) ગ (3) રો લગ મોમે ટ (૪) િપ ચગ મોમે ટ 5

Q.4 OR િસગલ લાઇડર ક િમકિનઝમમા ં ટવ એફટ અને વે ગ કપલ સમ વો. 5

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Seat No.: ________ Enrolment No.______________

GUJARAT TECHNOLOGICAL UNIVERSITY DIPLOMA ENGINEERING – SEMESTER – IV • EXAMINATION – WINTER- 2016

Subject Code: 3340202 Date:19 11- 2016

Subject Name: VEHICLE KINEMATICS & DYNAMICS

Time:2;30PM TO 5:00PM Total Marks: 70 Instructions:

1. Attempt all questions.

2. Make Suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

4. Use of programmable & Communication aids are strictly prohibited.

5. Use of only simple calculator is permitted in Mathematics.

6. English version is authentic.

Q.1 Answer any seven out of ten. દશમ ાંથી કોઇપણ સ તન જવ બ આપો. 14

1. Explain Kinematics and Dynamics.

૧. ક ઇનેમેટિક્સ તથ ડ યનેમમકસ સમજાવો.

2. Draw neat sketch of single slider crank mechanism.

૨. મસિંગલ સ્લ ઇડર ક્રેંક મમકેમનઝમ ની આકૃમત દોરો.

3. List out various types of Cams and Followers.

૩. અલગ અલગ પ્રક ર ન કેમ તથ ફોલોઅર ની ય દી બન વો.

4. Differentiate between Lower pair and Higher pair.

૪. લોઅર પેર અને હ યર પેર નો તફ વત લખો.

5. Explain Resonance and Damping.

૫. રેઝૉનન્સ તથ ડેમ્પિંગ સમજાવો.

6. Explain Free vibration and Forced vibration.

૬. મકુ્ત વ ઇબ્રેશન તથ બળ પ્રેટરત વ ઇબ્રેશન સમજાવો.

7. Explain Camber angle and Caster angle for steering geometry.

૭. કેંબર એંગલ તથ કેસ્િર એંગલ સમજાવો.

8. Draw neat sketch of Ackermann steering mechanism.

૮. એકરમન સ્િીયટરિંગ મેકેમનઝમ ની આકૃમત દોરો.

9. Explain Traction and Tractive effort.

૯. ટે્રકશન તથ ટે્રક્ક્િવ એફિટ સમજાવો.

10. Write down Relation between Vehicle speed and Engine speed.

૧૦. વેટહકલ સ્પીડ તથ એંજજન આર.પી.એમ ન સાંબાંધ નુાં સતૂ્ર લખો.

Q.2 (a) What is inversion of mechanism? List out various inversions of four bar chain

mechanism.

03

પ્રશ્ન. ર (અ) મમકેમનઝમ નુાં ઇન્વટઝન એિલે શુાં? ફોર બ ર ચેઇન મમકેઝમ ન ઇન્વટઝન ની ય દી બન વો.

૦૩

OR

(a) Give classification of Kinematic pair. 03

(અ) ક ઇનેમેટિક પેર નુાં ક્લ મસટફકેશન આપો. ૦૩

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(b) Explain Swaying Couple. 03

(બ) સ્વેંઈંગ કપલ સમજાવો. ૦૩

OR

(b) Explain Hammer Blow. 03

(બ) હમેર બ્લો સમજાવો. ૦૩

(c) Explain balancing of single rotating mass by counter balancing mass in same

plane. 04

(ક) એક જ સમતલ મ ાં રોિેિ થત ાં ક ઉન્િર બેલેમન્સિંગ મ સ દ્વ ર મસિંગલ રોિેટિિંગ મ સ નુાં બેલેમન્સિંગ સમજાવો.

૦૪

OR

(c) Explain Longitudinal and Transverse vibration. 04

(ક) લોંજીિયડુીનલ તથ ટ્ર ન્સવઝટ વ ઇબ્રેશન સમજાવો. ૦૪

(d) List out various factors affecting human comfort in vehicle. 04

(ડ) વ હન મ ાં હ્યમૂન કમફિટ ને અસર કરત ાં પટરબળો ની ય દી બન વો. ૦૪

OR

(d) Draw neat sketch of (1) Roller follower with Disc cam (2) Knife Edge

follower with Wedge cam.

04

(ડ) આકૃમત દોરો: (૧) રોલર ફોલોઅર સ થે ટડસ્ક કેમ (૨) ન ઈફ એડ્જ ફોલોઅર સ થે વેજ કેમ.

૦૪

Q.3 (a) Explain condition for True Rolling. 03

પ્રશ્ન. 3 (અ) ટ્રૂ રોલલિંગ ની શરત સમજાવો. ૦૩

OR

(a) Write down equations for turning circle radius of all four wheel of vehicle. 03

(અ) ક ર ન ચ રેય પૈડ ાં મ િે િટનીંગ રેટડયસ નુાં સતૂ્ર લખો. ૦૩

(b) List out various factors affecting steering geometry of vehicle. 03

(બ) સ્િીયટરિંગ જીયૉમેટ્રી ને અસર કરત ાં પટરબળો ની ય દી બન વો. ૦૩

OR

(b) Explain power required for propulsion of vehicle. 03

(બ) વેટહકલ ચલ વવ મ િે જરૂરી પ વર નુાં સતૂ્ર સમજાવો. ૦૩

(c) Which are the various resistances acting on vehicle? Explain any two in brief. 04

(ક) વેટહકલ પર કય અવરોઓધો લ ગે છે? કોઈ પણ બે ને ટૂાંક મ ાં સમજાવો. ૦૪

OR

(c) Explain distribution of vehicle weight in the three wheeler on a flat road. 04

(ક) સપ િ રસ્ત પર ત્રણ પૈડ ાં ન વ હન મ ાં વજન ની વહેંચણી સમજાવો. ૦૪

(d) List out various factors affecting Braking Efficiency. 04

(ડ) બ્રેટકિંગ ક્ષમત ને અસર કરત ાં પરીબળો ની ય દી બન વો. ૦૪

OR

(d) For a car the data is as given below,

Weight of car is 44 kN, frontal area is 5.4 m2, diameter of wheel is 140 cm,

Rolling resistance is 3 N/ 1 kN, constant for air resistance is 0.028, on a flat

road car can travel at max. Speed of 140 km/hr. Find out Engine power

required to travel at max speed in top gear on flat road.

04

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(ડ) એક ક ર મ િે નીચે મજુબ ડેિ આપેલ છે: વજન 44 kN, આગળ ન ભ ગ નો એટરય 5.4 m2, પૈડ ાં નો વ્ય સ 140 cm, રોલલિંગ અવરોધ: 3 N/ 1 kN, હવ ન અવરોધ નો સહગણુક: 0.028, સપ િ રસ્ત પર િોપ લગયર મ ાં ક ર ની મહત્તમ ગમત 140 km/hr, સપ િ રસ્ત પર િોપ લગયર મ ાં ક ર ની મહત્તમ ગમત મ િે જરૂરી એંજજન પ વર શોધો.

૦૪

Q.4 (a) Draw neat sketch of Mac-Pherson independent suspension system. 03

પ્રશ્ન. ૪ (અ) મેકફશટન સસ્પેન્સન ની આકૃમત દોરો. ૦૩

OR

(a) Draw neat sketch of wishbone arm suspension system. 03

(અ) મવશબોન આમટ સસ્પેન્સન ની આકૃમત દોરો. ૦૩

(b) Differentiate between Rigid link and Flexible link. 04

(બ) રીજીડ લલિંક તથ ફ્લેમક્સબલ લલિંક નો તફ વત આપો. ૦૪

OR

(b) Differentiate between structure and machine. 04

(બ) સ્ટ્રક્ચર તથ મશીન નો તફ વત આપો. ૦૪

(c) Wheel base of a car is 2.5 m. The center of gravity is 0.6 m above the ground

and 1.1m ahead of rear axle. if car is travelling at 85 Km/hr and coefficient of

friction is 0.6, find out stopping distance in case of,

1. Brakes applied on only rear wheels.

2. Brakes applied on all 4 wheels.

07

(ક) એક ક ર નો વ્હીલ બેઝ 2.5 મી. છે. ક ર ની સેંિર ઓફ ગ્રેવીિી જમીન થી 0.6 મી. ઉપર તથ પ છળ ની એક્ષલ થી 1.1. મી. આગળ છે. ક ર 85 ટકમી/કલ ક ની ગમત થી ટ્ર વેલ કરતી હોય અને ર્ટષ્ણ નો ગણુ ાંક 0.6 હોય તો, સ્િોમપિંગ ટડસ્િન્સ નીચે ન ટકસ્સ મ ાં શોધો. ૧. મ ત્ર પ છળ ન પૈડ ાં પર બ્રેક લ ગતી હોય. ૨. ચ રેય પૈડ ાં પેર બે્રક લ ગતી હોય.

૦૭

Q.5 (a) Define Frequency and Amplitude. 04

પ્રશ્ન. ૫ (અ) ટિક્વન્સી અને એમ્પ્લલિયડુ સ મજાવો. ૦૪

(b) Explain Drawbar pull and Gradiability. 04

(બ) ડ્રો બ ર પલુ તથ ગે્રડેલબલલિી સમજાવો. ૦૪

(c) Explain rolling moment, pitching moment and yawing moment. 03

(ક) રોલલિંગ મોમેન્િ, મપલચિંગ મોમેન્િ અને યોઇંગ મોમેન્િ સમજાવો. ૦૩

(d) List out various types of springs used in Automobile. Draw neat sketch of

one.

03

(ડ) ઓિોમોબ ઈલ મ ાં વપર તી જુદી જુદી પ્રક ર ની મસ્પ્રિંગ ની ય દી બન વો. કોઈ એક પ્રક ર ની મસ્પ્રિંગ ની આકૃમત દોરો.

૦૩

************

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GUJARAT TECHNOLOGICAL UNIVERSITY DIPLOMA ENGINEERING – SEMESTER –IV• EXAMINATION – SUMMER - 2017

Subject Code: 3340202 Date: 29-04 - 2017

Subject Name: Vehicle Kinematics & Dynamics

Time: 10:30 AM TO 01:00 PM Total Marks: 70 Instructions:








1. Define the term (1) Lift and (2) Drag.

૧. પદ સમજાવો (1) લીફ્ટ અને (2) ડ્રેગ.

2. Draw neat sketch of Four bar mechanism.

૨. ફોર બ ર મીકેનીઝમ ની આક્રુતી દોરો.

3. Define (1) frequency and (2) resonance.

૩. સમજાવો (1) આવ્રતુી અને (2) રેઝોનેન્સ.

4. Draw neat sketch of knife edge follower.

૪. ન ઇફ એજ ફોલોઅર ની આક્રુતી દોરો.

5. State different types of suspension spring.

૫. જુદ જુદ પ્રક રની સસ્પેન્સન સ્પ્રીંગ લખો.

6. Write down the classification of link.

૬. લીંકન ુવગીકરણ લખો.

7. Define rolling moment and pitching moment.

૭. રોલીંગ મોમેન્ટ અને પીચીંગ મોમેન્ટ સમજાવો.

8. Write down the various types of cam.

૮. કેમન જુદ જુદ પ્રક ર લખો.

9. What is the meaning of 1 in 5 as a gradiability concern?

૯. ગ્રેડીયેબીલીટી ન સાંદર્ભ મ 1 in 5 નો અથભ શ ુથ ય છે ?

10. Write down the equation of turning circle radius for both front wheels.

૧૦. બાંને આગળન વ્હીલ મ ટે ટનીગ સકભલ રેડીયસ ન સમીકરણો લખો.

Q.2 (a) Why balancing is needed? 03

પ્રશ્ન. ર (અ) બેલેન્સીંગ શ મ ટે જરુરી છે ? ૦૩

OR

(a) Define static balancing. 03

(અ) સ્ટેટીક બેલેન્સીંગ સમજાવો ૦૩

(b) Explain balancing of primary forces in multi cylinder in-line engine 04

(બ) મલ્ટી સીલીન્ડર ઇન લ ઇન એન્ીનન પ્ર યમરી બળોન ુબેલેન્સીંગ સમજાવો. ૦૪ OR

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(b) Explain balancing of secondary forces in multi cylinder in-line engine. 04

(બ) મલ્ટી સીલીન્ડર ઇન લ ઇન એન્ીનન સેકન્ડરી બળોન ુબેલેન્સીંગ સમજાવો. ૦૪ (c) Four masses m1, m2, m3 and m4 are attached to a shaft and revolve in the

same plane. The masses are 16 Kg, 14 Kg , 18 Kg and 19 Kg

respectively and their radii of rotations are 70 mm, 60 mm, 50 mm

and 40 mm. the angular position of the masses m2, m3 and m4 are 70°, 120°

and 270° from the mass m1. Find the magnitude and position of the balancing

mass at radius of 100 mm in the same plane.

07

(ક) ચ ર મ સ m1, m2, m3 અને m4 એક શ ફ્ટ સ થે જોડ યેલ છે જે એક જ સમતલ મ ફરે છે. જેમન ુવજન અનકુ્રમે 16 Kg, 14 Kg , 18 Kg અને 19

Kg છે તેમન ફરવ ની ત્રિજ્ય અનકુ્રમે 70 mm, 60 mm, 50 mm અને 40

mm છે. m2, m3 અને m4 ન ુકોણીય સ્થ ન અનકુ્રમે 70°, 120° અને 270° m1 ની સ પેકે્ષ છે. તો 100 mm ત્રિજ્ય પરન બેલેન્સીંગ વજનન ુ મ પ અને કોણીય સ્થ ન શોધો.

૦૭

OR

(c) Derive the equations for swaying couple and hammer blow. 07

(ક) સ્વેયીંગ કપલ અને હમેર બ્લો ન ુસમીકરણ ત રવો. ૦૭

Q.3 (a) Write down various resistances to motion of vehicle. 03

પ્રશ્ન. 3 (અ) વ હનની ગતીન જુદ જુદ અવરોધો લખો. ૦૩

OR

(a) List various factors affecting braking efficiency. 03

(અ) બ્રેકીંગ ની ક યભદક્ષત ને અસર કરત પરીબળો લખો. ૦૩

(b) Draw road performance curve of Road speed Vs Tractive effort. 04

(બ) રોડ સ્પીડ Vs ટે્રક્ટીવ એફટભ નો રોડ પરફોમભન્સ કવભ દોરો. ૦૪ OR

(b) Draw road performance curve of Road speed Vs power. 04

(બ) રોડ સ્પીડ Vs પ વર નો રોડ પરફોમભન્સ કવભ દોરો. ૦૪ (c) A truck weighing 58860N has a frontal area of 5.6 m2. The overall top gear

ratio and second gear ratio are 5:1 and 15:1 respectively. The transmission

efficiencies in top gear and second gear are 90% and 80% respectively. The

rolling resistance is 20N per 1000N of truck weight and the air resistance co-

efficient is 0.04. if the speed of truck on level road is 80km/h then calculate

1. The engine brake power at this speed

2. The engine rpm if the wheel diameter is 0.8m

3. The maximum grade that the truck can negotiate in second gear.

07

3/3

(ક) 58860N વજન ધર વત ટ્રક્ન આગળન ર્ ગન ુ કે્ષિફળ 5.6 m2 છે. ટોપ ગીયર અને બીજા ગીયરનો ગીયર રેશીયો અનકુ્રમે 5:1 અને 15:1 છે. ટ્ર ન્સમીશન ક્ષમત ટોપ ગીયર અને બીજા ગીયરની અનકુ્રમે 90% અન ે 80%

છે. રોલીંગ અવરોધ પ્રતી 1000N વજને 20N તથ હવ ન અવરોધનો સહ ગણુક 0.04 છે. જો સીધ રસ્ત પર વ હનની ગત્રત 80km/h હોય તો શોધો.

૧. આ ગત્રતએ એન્ીન નો બે્રક પ વર

૨. એન્ીન ન આર.પી.એમ. જો વ્હીલ નો ડ ય મીટર 0.8m હોય

૩. બીજા ગીયર મ ટ્રક ચડી શકે તેવો મહત્તમ ઢ ળ

૦૭

OR

(c) Derive an equation for max. Acceleration, max. Tractive effort and reaction

at wheel for a front wheel drive vehicle. 07

(ક) ફ્રટ વ્હીલ ડ્ર ઇવ વ હન મ ટે મહત્તમ એક્ક્ષલરેશન, મહત્તમ ટે્રક્ટીવ એફટભ અને વ્હીલ પરન રરએક્શન મ ટેન સમીકરણો ત રવો.

૦૭

Q.4 (a) Explain roll axis. 03

પ્રશ્ન. ૪ (અ) રોલ એક્ષીસ સમજાવો. ૦૩

OR

(a) Why suspension is required? 03

(અ) સસ્પેન્સન શ મ ટે જરુરી છે ? ૦૩

(b) Differentiate between full floating and semi floating axle 04

(બ) સેમી ફ્લોટીંગ અને ફુલ ફ્લોટીંગ એક્ષલ વચ્ચેનો તફ વત લખો. ૦૪

OR

(b) Explain constructional details of tubeless tyre. 04

(બ) ટયબુલેસ ટ યર ની રચન કીય ત્રવગતો સમજાવો. ૦૪

(c) State condition for true rolling and explain Ackerman steering mechanism. 07

(ક) ટ્રુ રોલીંગ મ ટેની જરુરીય ત લખો અને એકરમેન સ્ટીયરીંગ ની મીકેનીઝ્મ સમજાવો.

૦૭

Q.5 (a) Classify different types of kinematic pair with their examples. 04

પ્રશ્ન.૫ (અ) જુદ જુદ પ્રક રની ક ઇનેમેટીક્સ પેરન ુઉદ હરણ સ થે વગીકરણ કરો. ૦૪

(b) Write down the source of vibration in vehicle. 04

(બ) વ હન મ વ ઇબ્રેશન ન પરીબળો લખો. ૦૪

(c) Write down difference between kinematics and dynamics. 03

(ક) ક ઇનેમેટીક્સ અને ડ યનમેીક્સ વચ્ચેનો તફ વત લખો. ૦૩

(d) Explain draw bar pull 03

(ડ) ડ્રો બ ર પલુ સમજાવો. ૦૩

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GUJARAT TECHNOLOGICAL UNIVERSITY DIPLOMA ENGINEERING – SEMESTER – 4(NEW) • EXAMINATION – SUMMER 2018

Subject Code: 3340202 Date: 30-Apr-2018

Subject Name: Vehicle Kinematics & Dynamics

Time: 10:30 AM TO 01:00 PM Total Marks: 70 Instructions:








1. Define the term Kinematics

૧. ક ઇનેમેટીક્સ પદ સમજાવો

2. Define the term Dynamics

૨. ડ યનેમીક્સ પદ સમજાવો

3. Draw neat sketch of slider crank mechanism.

૩. સ્લ ઇડર ક્રાંક મીકેનીઝ્મ ની આક્રુતી દોરો

4. Write difference between rigid link and flexible link

૪. રીજીડ લીંક અને ફ્લેક્શીબલ લલિંક વચ્ચેનો તફ વત લખો

5. What is inversion of mechanism?

૫. ઇન્વર્ઝ્ન મીકેનીઝમ શ ુછે?

6. Define the terms – free vibration and forced vibration

૬. વ્ય ખ્ય આપો – ફ્રી વ ઇબ્રશેન અને ફોસ્ડ વ ઇબ્રેશન

7. Draw neat sketch of any two types of follower

૭. કોઇ પણ બે ફોલોઅરની આક્રુતી દોરો

8. Define the term Draw bar pull

૮. ડ્રો બ ર પલુ પદ સમજાવો.

9. Define the term – braking efficiency.

૯. બ્રેકીંગ ક ય્દક્ષત પદ સમજાવો.

10. Define the term rolling moment and pitching moment

૧૦. રોલીંગ મોમેન્ટ અને પીચીંગ મોમેન્ટ સમજાવો

Q.2 (a) Write down need of balancing. 03

પ્રશ્ન. ર (અ) બેલેન્સીંગની જરુરીય ત લખો ૦૩

OR

(a) Define balancing of rotating mass. 03

(અ) રોટેટીંગ મ સ ન ુબેલેન્સીંગ સમજાવો ૦૩

(b) Write down difference between static balancing and dynamics balancing 04

(બ) સ્ટેટીક બેલેન્સીંગ અને ડ યનેમમક્સ બેલેન્સીંગ વચ્ચેનો તફ વત લખો ૦૪

OR

(b) Derive an equation of variation of tractive force 04

2/3

(બ) ટે્રક્ટીવ ફોસ્ ન ફેરફ રન ુસતુ્ર ત રવો ૦૪ (c) How several mass rotating in the same plane are balanced? 07

(ક) એક જ સપ ટી મ ફરત અનેક મ સ ને કેવી રીતે સમતોલ કરવ મ આવે છે? ૦૭

OR

(c) Explain swaying couple and hammer blow 07

(ક) સ્વેયીંગ કપલ અને હમેર બ્લો સમજાવો ૦૭

Q.3 (a) Draw road performance curve of Road speed Vs power. 03

(અ) રોડ સ્પીડ Vs પ વરનો રોડ પરફોમંન્સ કવ્ દોરો ૦૩

OR

(a) Explain the air resistance. 03

(અ) હવ નો અવરોધ સમજાવો. ૦૩

(b) Derive an equation for distribution of weight for four wheeler vehicle. 04

(બ) ચ ર વ્હીલર વ હનમ વજન વહચેણીન ુસતુ્ર ત રવો. ૦૪

OR

(b) Define the term tractive force and traction 04

(બ) ટે્રક્ટીવ ફોસ્ અને ટે્રક્શન ન પદની વ્ય ખ્ય આપો ૦૪ (c) Derive an equation for stability of a vehicle on a slope. 07

(ક) ઢ ળ પર વ હનની સ્ટેબીલીટી મ ટેન ુસતુ્ર ત રવો. ૦૭ OR

(c) The car has the following data

Weight- 44 KN Frontal area: 5.4 m2

Wheel diameter: 0.8125 m co-efficient rolling resistance:0.018

Co-efficient of air resistance: 0.0276

Maximum speed in top gear: 88km/hr

Top gear ratio:6.2:1

Transmission efficiency: 90%

Find: (1) the engine power required at top speed in top gear

(2) Engine speed (rpm) at above car speed

07

(ક) એક ક ર મ ટેની મ હીતી નીચે મજુબ આપેલ છે

વજન : 44 KN આગળન ભ ગ નો એરીય : 5.4 m2

વ્હીલ ડ ય મીટર: 0.8125 m રોલીંગ અવરોધનો સહગણુક: 0.018

હવ ન અવરોધનો સહગણુક: 0.0276 ટોપ ગીયર મ મહત્તમ ગતી: 88km/hr

ટોપ ગીયર રેશીયો: 6.2:1

ટ્ર ન્સમીશન ક્ષમત : 90%

શોધો (૧) ટોપ ગીયરમ મહત્તમ ગતી મ ટે જરુરી પ વર

(૨) ક ર ની મહતમ ગતી મ ટે એન્જીનની સ્પીડ( આર પી એમ )

૦૭

Q.4 (a) Draw neat sketch of MacPherson strut type suspension 03

પ્રશ્ન. ૪ (અ) મેકફશ્ન સ્ુટ ટ ઇપ સસ્પેંશનની આક્રુતી દોરો ૦૩

OR

(a) Define the terms – Frequency, amplitude and cycle 03

3/3

(અ) પદો સમજાવો – આવ્રતુી, એમ્પ્લીટયડુ અને સ યકલ ૦૩

(b) Explain the factors affecting the human comfort in vehicle. 04

(બ) વ હનમ મ નમવય આર મને અસર કરત પરીબળો સમજાવો ૦૪

OR

(b) Write down the turning circle radius equation for all wheel of a vehicle 04

(બ) વ હનન બધ વ્હીલ મ ટેન ટનીગ સક્લ રેડીયસ ન સતુ્રો લખો ૦૪

(c) A truck has pivot pins at 1.37m apart, the length of each track arm is 0.17m

and the track rod is behind front axle is 1.17m. Determine the wheel base for

true rolling of all wheels when inner stub axle is 600 to the center line of the

car.

07

(ક) એક ટ્રકન પીવોટ લબિંદુઓ 1.37m ન અંતરે છે દરેક ટે્રક આમ્ની લાંબ ઇ 0.17m છે તથ ફ્રાંટ એક્ષલની પ છળનો ટે્રક રોડ 1.17m લ ાંબો છે દરેક વ્હીલની ુ રોલીંગની સ્થીતીમ જ્ય રે અંદરનો સ્ટબ એક્ષલ ક રની મધ્ય રેખ સ થે 600

ન ખણેુ હોય તો વ્હીલ બેઝ શોધો

૦૭

Q.5 (a) Write down the function and requirement of suspension system. 04

પ્રશ્ન. ૫ (અ) સસ્પેંશન સીસ્ટમન ુક ય્ અને જરુરીય ત લખો ૦૪

(b) Write down the difference between tube tyre and tubeless tyre. 04

(બ) ટયબુ ટ યર અને ટયબુલેસ ટ યર વચ્ચેનો તફ વત લખો ૦૪

(c) Write down the difference between machine and mechanism. 03

(ક) મશીન અને મીકેનીઝમ વચ્ચેનો તફ વત લખો ૦૩

(d) Define degree of freedom 03

(ડ) ડીગ્રી ઓફ ફ્રીડમ સમજાવો. ૦૩

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