2-4. A block of 
rests on the edge of a
horizontal platform, and the radius of the platform is 
. The angular motion of the platform is slowly increased so
that the block’s tangential acceleration is negligible. When the speed of the edge
of the platform is 
, determine the probability that the block will slip off the
platform. Assume the coefficient of static friction between the block and the
platform follows a normal distribution 
. Neglect the size of the block.
Solution: 
