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A bowling ball 28 cm in diameter is slid down an alley with which it has a coefficient of sliding friction of µ = 0.52. The ball has an initial velocity of 11 m/s and no rotation. g = 9.81 m/s2. Note: For a sphere Icm = (2/5)mr2.

a) What is the initial deceleration of the ball?

b) What is the initial angular acceleration of the ball?

c) How long does it take before the ball starts to roll without slipping?

d) If it had been moving 15.4 m/s initially, how long would it have taken the ball to start rolling without slipping?

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Okay, I've gotten parts a and b, but I'm stuck on C. If I can get C, I can get D easily.

part a) Just did summation of forces in x direction =ma.

u*m*g=m*a

|a|=5.096 m/s

part b) Net torque=I*alpha

so u*m*g*r=(2/5)MR^2*alpha

alpha= 91 rad/sec^2

part c) Okay, this probably is simple to figure out, but I'm not seeing it. I have my initial deceleration and initial angular acceleration of the ball.

Ok, so what do I do to find the time before the ball starts rolling?

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# Bowling ball help on small subpart

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