King Fahd University of Petroleum & Minerals Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 29

Rigid-Body Motion Types of rigid body planar motion: Translation Rotational about fixed axis General plane motion

Summary

r1 r2 s , v, a

Example 16-2 Rest aA= 2 rad/s2 uP=? aP=? qB = 10 revelations of B

Problem 16-14 Reverse gear transmission wB= ? G rG = 80 mm rC= rD = 40 mm rE = rB = 50mm rF= 70 mm

Problem 16-xx

Translation A B Position Velocity A B Acceleration

Rotation

Relative Motion Analysis: Velocity

Indicate the direction of velocities of points A, B, C x y

Example 16-9

Rolling wheels C Rolls without slipping

D Instantaneous center of zero velocity C IC

Location of IC knowing the line of action of vA and vB

Example 16-11

Example 16-12

Example

Relative-Acceleration equation aB = acceleration of point B aA = acceleration of the base point A a = angular acceleration of the body w = angular velocity of the body rB/A = relative-position vector drawn from A to B

Rolling wheel with-out slipping at=0

Example 16-17

Example 16-18