1975M2. 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 w after the dart strikes.

b. In terms of the given quantities, determine the ratio:

final kinetic energy of the system

initial kinetic energy of the system

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 w after the dart strikes.

b. In terms of the given quantities, determine the ratio:

final kinetic energy of the system

initial kinetic energy of the system