me 316 handout 11 planar kinematics of a rigid body: review i 1.particle vs. rigid body 2.planar...

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ME 316 Handout 1 1 Planar Kinematics of a Rigid Body: Review I 1. Particle vs. Rigid body 2. Planar motion vs. Spatial motion 3. Type of planar motion

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Page 1: ME 316 Handout 11 Planar Kinematics of a Rigid Body: Review I 1.Particle vs. Rigid body 2.Planar motion vs. Spatial motion 3.Type of planar motion

ME 316 Handout 1 1

Planar Kinematics of a Rigid Body: Review I

1. Particle vs. Rigid body

2. Planar motion vs. Spatial motion

3. Type of planar motion

Page 2: ME 316 Handout 11 Planar Kinematics of a Rigid Body: Review I 1.Particle vs. Rigid body 2.Planar motion vs. Spatial motion 3.Type of planar motion

ME 316 Handout 1 2

Review: Planar Kinematics of a Rigid Body

1. Particle Versus Rigid Body

A

B

Particle: A & B have the same motion

A

B

Rigid body: A and B may have different motions

Page 3: ME 316 Handout 11 Planar Kinematics of a Rigid Body: Review I 1.Particle vs. Rigid body 2.Planar motion vs. Spatial motion 3.Type of planar motion

ME 316 Handout 1 3

2. Planar motion vs. Spatial motion

Example 1

Page 4: ME 316 Handout 11 Planar Kinematics of a Rigid Body: Review I 1.Particle vs. Rigid body 2.Planar motion vs. Spatial motion 3.Type of planar motion

ME 316 Handout 1 4

Example 2

Page 5: ME 316 Handout 11 Planar Kinematics of a Rigid Body: Review I 1.Particle vs. Rigid body 2.Planar motion vs. Spatial motion 3.Type of planar motion

ME 316 Handout 1 5

Spatial motion - Example

Page 6: ME 316 Handout 11 Planar Kinematics of a Rigid Body: Review I 1.Particle vs. Rigid body 2.Planar motion vs. Spatial motion 3.Type of planar motion

ME 316 Handout 1 6

Planar motion – Scientific Definition

All particles of a rigid body move along paths which are equidistant from a fixed plane, the body is said to undergo planar motion

A body system consists of several rigid bodies. When all rigid bodies undergo planar motion, the system is said to undergo planar motion

Page 7: ME 316 Handout 11 Planar Kinematics of a Rigid Body: Review I 1.Particle vs. Rigid body 2.Planar motion vs. Spatial motion 3.Type of planar motion

ME 316 Handout 1 7

3. Types of planar motion

Translation

Page 8: ME 316 Handout 11 Planar Kinematics of a Rigid Body: Review I 1.Particle vs. Rigid body 2.Planar motion vs. Spatial motion 3.Type of planar motion

ME 316 Handout 1 8

3. Types of planar motion

Rotation at a fixed axis

Planar general motion

Page 9: ME 316 Handout 11 Planar Kinematics of a Rigid Body: Review I 1.Particle vs. Rigid body 2.Planar motion vs. Spatial motion 3.Type of planar motion

ME 316 Handout 1 9

Types of planar motion – Scientific definition

Translation: every line segment on the body remains parallel to its original direction during the motion

Rotation about a fixed axis: all the particles move along circular paths

General plane motion: a combination of translation and rotation.