A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is v in the direction shown, which one of the following options is correct (P and Q are any highest and lowest points on the wheel, respectively)?

The moment of inertia of a thin rod about an axis passing through its mid-point and perpendicular to the rod is The length of the 400 g rod is nearly

The ratio of the accelerations for a soldi sphere (mass 'm' and radius 'R') rolling down an incline of angle 'θ' without slipping and slipping down the incline without rolling is :-

A disc of radius 2 m and mass 100 kg rolls on a horizontal floor. Its centre of mass has speed
of 20 cm/s. How much work is needed to stop it?

The angular speed of a fly wheel moving with uniform angular acceleration changes from 1200 rpm to 3120 rpm in 16 seconds. The angular acceleration in rad/s^² is

A uniform circular disc of radius 50 cm at rest is free to tum about an axis which is perpendicular to its plane and passes through its centre. It is subjected to a torque which produces a constant angular acceleration of 2.0 rad s−2. Its net acceleration in ms−2 at the end of 2.0 s is approximately:

A disk and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first?

A solid cylinder of mass 2 kg and radius 4 cm rotating about its axis at the rate of 3 rpm.
The torque required to stop after 2π revolutions is