Two thin uniform rods, each of mass m and length L, are joined at a right angle to form an L-shape. The system is hinged at the free end of one rod. If the moment of inertia of the system about the hinge is x12mL2, what is the value of x?

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: