570_Dynamics 11ed Manual

570_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 17 Problem 17-87 If a disk rolls without slipping , show that when moments are summed about the instantaneous center of zero velocity, IC , it is possible to use the moment equation Σ M IC = I IC α, where I IC represents the moment of inertia of the disk calculated about the instantaneous axis of zero velocity. Solution: Σ M IC = Σ ( M k ) IC ; Σ M IC I G α ma G r + = Since there is no slipping, a G r = Thus, Σ M IC I G mr 2 + () = By the parallel - axis theorem, the term in parenthesis represents I IC. Σ M IC I IC = Q.E.D *Problem 17-88 The punching bag of mass M has a radius of gyration about its center of
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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