Analytical Mech Homework Solutions 119

Analytical Mech Homework Solutions 119 - 17 From section...

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17 8.22 From section 8.7 (see Figure 8.7.1), the instantaneous center of rotation is the point . If O x is the distance from the center of mass to O and 2 l is the distance from the center of mass to the center of percussion O , then from eqn. 8.7.10 … 22 1 21 2 cm I lM l x MM    == =       1 2 l 6 l x = 8.23 In order that no reaction occurs between the table surface and the ball, the ball must approach and recede from its collision with the cushion by rolling without slipping. Using a prime to denote velocity and rotational velocity after the collision: ˆ cm cm P vv m =− () ˆ cm cm P ha I ωω = −−
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This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.

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