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Stephen Canfield (username: scanfield)

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Written: Oct 4, 2011 10:46 AM - Oct 4, 2011 10:47 AM

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Homework #3

Question 1

Consider a car traveling along a circular arc of 250 m radius. Assume the car can be modeled with a

single vector from the center of curvature to the COM (center of mass) of the car. When the car isposition “A”, its position vector makes a 30 degree angle with respect to the x axis. At position

angle is 60 degrees.

a) For the vector describing the cars position at "A",

of 14Homework #3 practice problems - Preview - ME-3610-001 - Dynamics of Machinery - T...

1/5/2006https://elearn.tntech.edu/d2l/lms/quizzing/user/quiz_submissions_attempt.d2l?qi=3988426&...

rax

= ______________(rounded to one decimal)

________ (216.5)

ray = ____________________

________ (125)

b) For the vector describing the cars position at "B",

rbx

= ______________

________ (125)

rby

= ______________(rounded to one decimal)

________ (216.5)

c) If, the vector difference between A and B (vector from A to B) is AB, then

ABx = ____________________(rounded to one decimal)

________ (-91.5)

ABy = ____________________(rounded to one decimal)

________ (91.5)

Question 2



A plier is shown where the base handle(link 1) is fixed and the moving handle (link 3) is input. The

mobility of the mechanism is 1.

Fill in the answers for the given data

rkx= __________________________(correct to two decimal places)

Data

No

r1

(cm)

r2

(cm)

r3

(cm)

r4

(cm)

θ1

(deg)

θ3

(deg)rkx rky a b c

t

(branch=+1)

1 20 3 6 12 180 20 ? ? ? ? ? ?



________ (-14.36)

rky=________________(correct to two decimal places)

________ (2.05)

a = _____________________________(rounded to one decimal place)

________ (-690.2)

b = ______________________(rounded to one decimal place)

________ (-98.5)

c = ________________ (rounded to one decima place)

________ (-.8)

t(branch=+1) = ______________________(correct to 3 decimal places)

________ (-.134)

θ2(deg)(branch=+1) = ______________(rounded to one decimal)

________ (21.6)

θ4(deg)=(branch=+1) = _________________(rounded to one decimal)

________ (-15.3)

t(branch=-1) = ________________________(correct to 4 decimal places)

________ (-.0085)

θ2(deg)(branch=-1) = ________________________(rounded to one decimal)

________ (-38.0)

θ4(deg)(branch=-1) = _____________________(rounded to two decimals)

________ (-.98)

Question 3






rkx=

Data

No

r1

(cm)

r2

(cm)

r3

(cm)

r4

(cm)

θ1

(deg)

θ3

(deg)rkx rky a b c

t

(branch=+1)

1 30 9 10 15 180 0 ? ? ? ? ? ?



________ (-20)

rky=

________ (0)

a

________ (-1144)

b

________ (0)

c

________ (56)

t(branch=+1) = ___________________(correct to 4 decimal places)

________ (-.2212)

θ2(deg)(branch=+1) = ___________________(rounded to one decimal place)

________ (44.7)

θ4(deg)=(branch=+1)

________ (-25)

t(branch=-1) = ______________________(correct to 4 decimal places)

________ (.2212)

θ2(deg)(branch=-1) = ___________________(rounded to one decimal place)

________ (-44.7)

θ4(deg)(branch=-1)

________ (25)

Question 4






rkx= ____________________(rounded to two decimal places)

Data

No

r1

(cm)

r2

(cm)

r3

(cm)

r4

(cm)

θ1

(deg)

θ3

(deg)rkx rky a b c

t

(branch=+1)

1 20 3 9 10 210 30 ? ? ? ? ? ?



________ (-9.53)

rky= _________________________(rounded to one decimal place)

________ (-5.5)

a = ______________(rounded to one decimal place)

________ (-402.5)

b

________ (220)

c = _______________(rounded to one decimal place)

________ (-21.5)

t(branch=+1) = ________________________(correct to four decimal places)

________ (.1272)

θ2(deg)(branch=+1)

________ (93)

θ4(deg)=(branch=+1) = ______________________(rounded to one decimal place)

________ (14.5)

t(branch=-1) = ________________________(correct to 4 decimal places)

________ (.4193)

θ2(deg)(branch=-1)

________ (-33)

θ4(deg)(branch=-1)=________________(rounded to one decimal)

________ (45.5)

Question 5



Consider the leg press exercise machine with picture, schematic and model and equations, shown

below. Assume the angle of the upper bar (link 2) is input, find the translation of the box (4) and angle

of the foot plate (angle of 3) for the cases given in the table below.

Data

No

r1

(cm)

r2

(cm)

r3

(cm)

θ1

(deg)

θ2

(deg)rkx rky a b c r4

(cm)

(branch=+1)

1 30 80 30 30 150 ? ? ? ? ? ?



Fill in the answers for the given data (If there are decimals round them to one decimal unless specified.

If the answers are whole numbers then leave them as such unless specified)

rkx=

________ (-43.3)

rky=

________ (55)

a

________ (1)

b

________ (-138.6)

c

________ (4000)

r4(cm)(branch=+1)

________ (97.6)


________ (100.5)

r4(cm)(branch=-1)

________ (41)

θ3(deg)(branch=-1)

________ (-40.5)

Question 6

of 14Homework #3 practice problems - Preview - ME-3610-001 - Dynamics of Machinery -...





Fill in the answers for the given data (If the answers are in decimals round them to one decimal unless

Data No r1(cm) r2(cm) r3(cm) θ1(deg) θ

2(deg) rkx rky a b

2 50 80 30 0 120 ? ? ? ?



specified. If the answers are whole numbers, leave them as such unless specified)

rkx=

________ (10)

rky=

________ (69.3)

a

________ (1)

b

________ (-138.6)

c

________ (4000)

r4(cm)(branch=+1)

________ (97.6)


________ (109.5)

r4(cm)(branch=-1)

________ (41)

θ3(deg)(branch=-1)

________ (-109.5)

Question 7






Data

No

r1

(cm)

r2

(cm)

r3

(cm)

θ1

(deg)

θ2

(deg)rkx rky a b c r4

(cm)

(branch=+1)

3 0 50 25 30 120 ? ? ? ? ? ?



Fill in the answers for the given data (If the answers are in decimal, round them to one decimal unless

specified. If the answers are whole numbers, leave them as such unless specified)

rkx=

________ (-25)

rky=

________ (43.3)

a

________ (1)

b

________ (-100)

c

________ (1875)

r4(cm)(branch=+1)

________ (75)


________ (120)

r4(cm)(branch=-1)

________ (25)

θ3(deg)(branch=-1)

________ (-60)

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