Consider a solid cylinder of mass M and radius R rolling down an inclined plane without slipping from a height h. The speed of its centre of mass when the cylinder reaches the bottom is:

The moment of inertia of a rigid body depends on:

Consider a flywheel of mass 10 kg, uniform thickness 15 mm, and radius 100 mm. If it rotates at 300 RPM, then the kinetic energy of the flywheel (in Joules) is:

Two small balls with masses m and 2m are attached to both ends of a rigid rod of length d and negligible mass. If the angular momentum of this system is L about an axis passing through its centre of mass and perpendicular to the rod, then the angular velocity of the system is: