problem10_68

University Physics with Modern Physics with Mastering Physics (11th Edition)

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10.68: The tension is related to the acceleration of the yo-yo by , ) 2 ( ) 2 ( a m T g m = - and to the angular acceleration by . b a I I Tb = = α Dividing the second equation by b and adding to the first to eliminate T yields , 2 2 , ) ( 2 2 ) 2 ( 2 2 2 2 b R b g α b R g b I m m g a + = + = + = where 2 2 2 1 2 mR mR I = = has been used for the moment of inertia of the yo-yo. The
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Unformatted text preview: tension is found by substitution into either of the two equations; e.g., . ) 1 ) ( 2 ( 2 ) ( 2 ) ( 2 ) ( 2 2 1 ) 2 ( ) )( 2 ( 2 2 2 2 + = + = +-=-= R b mg b R b R mg b R mg a g m T...
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This document was uploaded on 02/04/2008.

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