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This lecture covers the various types of rigid body planar motion, including translation and rotational motion about a fixed axis. Key concepts such as position, velocity, and acceleration are explained using examples and problem-solving techniques. The lecture also explores relative motion analysis and rolling without slipping.
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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
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
A B A B Translation Position Velocity Acceleration
y x Indicate the direction of velocities of points A, B, C
Rolling wheels C Rolls without slipping
D C IC Instantaneous center of zero velocity
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
at=0 Rolling wheel with-out slipping G