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

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10.26: a) The angular speed of the ball must decrease, and so the torque is provided by a friction force that acts up the hill. b) The friction force results in an angular acceleration, related by . fR I = α The equation of motion is cm, sin ma f β mg = - and the acceleration and angular acceleration are related by a = cm (note that positive acceleration is taken to be down the incline,
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Unformatted text preview: and relation between cm a and is correct for a friction force directed uphill). Combining, ( 29 , 5 7 1 sin 2 ma mR I ma β mg = + = ( 29 . sin 7 5 which from cm β g a = c) From either of the above relations between if f and , cm a , cos sin 7 2 5 2 s s cm β mg μ n μ β mg ma f = ≤ = = from which ( 29 . tan 7 2 s β ≥ μ...
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