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greenarrow74
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Homework Statement
A bowling ball with Mass M and Radius R is thrown down an alley so that the balls center of mass has an initial horizontal velocity of Vo and the ball is not rotating. Kinetic friction force is f^k. Find:
a) an expression for the acceleration and velocity of the ball's center of mass (a) as a function of time (t)
b) in terms of M, R, Vo, and f^k, write down an expression for the angular acceleration and angular velocity as a function of time
c) at some time t^r, the ball will stop slipping on the alley and will start to roll w/out slipping. What are the conditions for this to happen
d) using these conditions in part (c), find the time t^r at which the ball starts to roll w/out slipping (in terms of M, R, Vo and f^k
The Attempt at a Solution
a) a=Vo/dt ?
b) angular acc = Torque/I
Torque = R x F
F= M X A
I = 2/3 x M x R^2 ?
c) v= R x w (ang velocity)
d) ?
Thanks so much for the help!