Q. A bicycle wheel of mass M (assumed to be concentrated at its rim) and radius R is mounted horizontally so it may turn without friction on a vertical axle. A dart of mass mo is thrown with velocity vo as shown above and sticks in the tire.
a)If the wheel is initially at rest, find its angular velocity after the dart strikes.
b)In terms of the given quantities, determine the ratio of final to initial kinetic energy of the system