problem10_80

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

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10.80: a) b) R is the radius of the wheel ( y varies from 0 to 2 R ) and T is the period of the wheel’s rotation. c) Differentiating, . 2 cos 2 2 sin 2 2 sin 2 2 cos 1 2 2 2 = = = - = T πt R T π a T πt T πR v T πt R T π a T πt T πR v y y x x d) π π 2 2 when 0 = = = T t v v y x or any multiple of , 2 π so the times are integer multiples of the period T . The acceleration components at these times are . 4 , 0 2 2 T R a a y x π = = e) , 4 2 sin 2 cos 2 2 2 2 2 2 2 2 T R T t T t R T a a y x π π π π = +
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