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Learn about the procedures for analyzing position, velocity, acceleration, and rotation in general plane motion. Understand how to establish direction, indicate velocities, and solve for unknowns. Examples provided.
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King Fahd University of Petroleum & Minerals Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 26
Translation Position Velocity Acceleration
i + j k Procedure for Analysis • Establish the direction of x and y • Indicate the direction of VA, VB, w, and rB/A • Apply VB= VA+ w x rB/Ain a vector form • Evaluate the cross product • Equate the respective i and j components to obtain two scalar equation • Solve for w and VB
y x Indicate the direction of velocities of points A, B, C
y x Indicate the direction of velocities of points A, B, C
i + j k Example 16-9
Rolling wheels C Rolls without slipping
Center of Zero Velocity B A Permanent Center of zero velocity
D C IC Instantaneous center of zero velocity
Example 16-10 IC rB/IC w rC/IC q
Example 16-10 C Translation