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20. Problem 12.16P (HRW) A bowler throws a bowling ball of radius R=11cm down a
lane. The ball slides on the lane, with initial speed
We have to answer a) What then is v in terms of
b) What is the linear acceleration of the ball during sliding? c) What is the angular acceleration of the ball during sliding? d) How long does the ball slide? e) How far does the ball slide? f) What is the speed of the ball when smooth rolling begins? |
and
initial angular speed
. The
coefficient of kinetic friction between the ball and the lane is 0.21.
The kinetic frictional force
acting
on the ball causes a linear acceleration of the ball while producing a torque
that causes an angular acceleration of the ball. When the speed of the centre of
mass
has
decreased enough and angular speed
has
increased enough, the ball stops sliding and then rolls smoothly. 
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Solution: Click For PDF Version We will use the results of the problem 19, 12.35 (HR), in calculating
the numerical answers. Note, the normal force is
Substituting this expression for
a)
b)
c)
d)
f)
e)
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and the coefficient of kinetic friction is 0.21. Therefore, the force of
friction will be
we find
the following answers:
.
.
