Systems of Part...

A sphere rolls down on an inclined plane of inclination θ. What is the acceleration as the sphere reaches bottom ?

A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom?

A cord is wound round the circumference of wheel of radius. The axis of the wheel is horizontal and moment of inertia about it is I. A weight mg is attached to the end of the cord and falls from the rest. After falling through a distance h, the angular velocity of the wheel will be

A solid cylinder 30 cm in diameter at the top of an inclined plane 2.0 m high is released and rolls down the incline without loss of energy due to friction.Its linear speed at the bottom is

A ring solid sphere and a disc are rolling down from the top of the same height, then the sequence to reach on surface is

If a hollow cylinder and a solid cylinder are allowed to roll down in inclined plane, which will take more time to reach the bottom ?

A solid cylinder rolls down an inclined plane of height 3 m and reaches the bottom of plane with angular velocity of 2√2 rad.s^–1. The radius of cylinder must be [Take g = 10 ms^–2]

A circular disc of radius R and thickness R/6 has moment of inertia I about an axis passing through its centre and perpendicular to its plane. It is melted and recasted into a solid sphere. The momentum of inertia of the sphere about its diameter as axis of rotation is

Let I be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle θ with AB. The moment of inertia of the plate about the axis CD is then equal to