(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

"A bowling ball rolls without slipping up a ramp that sloped upward at an angle B to the horizontal. Treat the ball as a uniform, sold spehere, ignoring the finger holes. a) explain why the friction force must be directed uphill. b) what is the acceleration of the center of mass of the ball? c) what minimum coefficient of static friction is needed to prevent slipping?

2. Relevant equations

I=2/5mr^2

F=ma, torque=fr=I alpha, a=r alpha

f=mu n

3. The attempt at a solution

b) f-mgsinB=ma

fR=Iaplhpa

fR=I(a/r)

f=2/5ma

2/5ma-mgsinB=ma

a=-5/3gsinB

c)f=2/5m(-5/3gsinB)

f= -2/3mgsinB

f/n=mu

mu>-2/3tanB

???????

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Acceleration of a rolling sphere up a ramp

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