Moment of inertia of a uniform circular disc about a diameter is I. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be

A ring of mass m and radius r rotates about an axis passing through its centre and perpendicular to its plane with angular velocity ω. Its kinetic energy is

A spherical solid ball of mass 1 kg and radius 3cm is rotating about an axis passing through its centre with an angular velocity of 50 rad s^-1. The kinetic energy of rotation is

Two racing cars of masses m and 4m are moving in circles of radii r and 2r respectively. If their speeds are such that each makes a complete circle in the same time, then the ratio of the angular speeds of the first to the second car is

A flywheel rotating about a fixed axis has a kinetic energy of 360 J when its angular speed is 30rad/s. The moment of inertia of the wheel about the axis of rotation is

ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. I_AB - I_BC and I_CA are the moments of inertia of the plate about AB, BC and CA as axes respectively. Which one of the following relations is correct?

O is the centre of an equilateral triangle ABC. F₁, F₂ and F3 are three forces actng along the sides AB, BC and AC as shown in figure. What should be the magnitude of F₃, so that the total torque about O is zero?

Angular momentum is

A thin uniform circular ring is rolling down an inclined plane of inclination 30^o without slipping . Its linear acceleration along the inclined plane will be

The angular speed of an engine wheel making 90 rev/min is