Bowling Ball. A bowling ball rolls without slipping up a ramp that slopes upward at an...
Bowling Ball. A bowling ball rolls without slipping up a ramp that slopes upward at an angle to the horizontal. Treat the ball as a uniform solid sphere of mass M and radius R, ignoring the finger holes.
a) Draw the free-body diagram for the ball. Explain why the friction force must be directed up the ramp.
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?
Please answer the whole question with details!!!
Homework Answers
b) Fr=I(a/r)
I=2/5mr^2
F=2/5ma
mg*sinb-f=ma
mg*sinb-2/5ma=ma
g*sinb=7/5a
a=5/7g*sinb(use negative sign if direction is also needed)
Note: b is the angle
c)
mg*sinb-(us)mg*cosb=m*5/7g*sinb
(us)*cosb=2/7*sinb
us=2/7*tanb
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