Posted by Samantha on .
A uniform, spherical bowling ball of mass m and radius R is projected horizontally along the ﬂoor at an initial velocity v0 = 6.00 m/s. The ball is not rotating initially, so ω0 = 0. It picks up rotation due to (kinetic) friction as it initially slips along the ﬂoor. The coeffcient of
kinetic friction between the ball and the ﬂoor is µk . After a time ts , the ball stops slipping and
makes a transition to rolling without slipping at angular speed ωs and translational velocity vs .
Thereafter, it rolls without slipping at constant velocity.
(b) Find an equation for the linear acceleration a of the ball during this time. The acceleration
should be negative, since the ball is slowing down.
(c) Find an equation for the angular acceleration α of the ball while it is slipping. It will be
simpler if you use the sign convention that clockwise rotations are positive, so α > 0.
(d) What constraint on ω and v must take eﬀect at time t = ts , the moment when the ball
stops slipping and begins rolling without slipping?

Physics 
bobpursley,
b) Energy is not conserved do to friction. So you know initial veloicty, and final velocity.
linearacceleartion=(finalveloicytinitialvelocity)/time
= (vsvo)/ts
c) alpha= acceleration above/ radius
d) v=w*r at ts