A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up toan angular velocity 10.0 rad/s. The sphere is dropped from a lowheight onto a flat platform of mass 5.00 kg. The sphere begins toskid and move along the platform until it rolls without slipping.The coefficient of kinetic friction between the sphere and theplatform is 0.70. The coefficient of friction between the platformand the ground is 0.05, and the platform begins to slide across theground. Find an expression for the horizontal position of thecenter of mass of the sphere as a function of time (hint—it’spiecewise!), and note the times at which the sphere’s motionchanges.
