# LECTUR~19_16.6 - INSTANTANEOUS CENTER OF ZERO VELOCITY...

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INSTANTANEOUS CENTER OF ZERO VELOCITY Today s Objec-ves : Students will be able to: 1. Locate the instantaneous center of zero velocity. 2. Use the instantaneous center to determine the velocity of any point on a rigid body in general plane mo?on. In-Class Activities : Check Homework Reading Quiz Applications Location of the Instantaneous Center Velocity Analysis Concept Quiz Group Problem Solving Attention Quiz
READING QUIZ 1. If applicable, the method of instantaneous center can be used to determine the __________ of any point on a rigid body. A) velocity B) acceleration C) velocity and acceleration D) force 2. The velocity of any point on a rigid body is __________ to the relative position vector extending from the IC to the point. A) always parallel B) always perpendicular C) in the opposite direction D) in the same direction

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APPLICATIONS The instantaneous center (IC) of zero velocity for this bicycle wheel is at the point in contact with ground. The velocity direction at any point on the rim is per pendicular to the line connecting the point to the IC. Which point on the wheel has the maximum velocity? Does a larger wheel mean the bike will go faster for the same rider effort in pedaling than a smaller wheel?
APPLICATIONS (continued) As the board slides down the wall (to the left), it is subjected to general plane motion (both translation and rotation). Since the directions of the velocities of ends A and B are known, the IC is located as shown. How can this result help you analyze other situations? What is the direction of the velocity of the center of gravity of the board?

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INSTANTANEOUS CENTER OF ZERO VELOCITY (Section 16-6) For any body undergoing planar motion, there always exists a point in the
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