A hollow sphere starts pure rolling from rest as shown. The acceleration of centre of mass of sphere is

Assertion : A solid and a hollow sphere both of equal masses and radii are put on a rough surface after rotating with some angular velocity say omega_(0) . Coefficient of friction for both the spheres and ground is same. Solid sphere will start pure rolling first Reason : Radius of gyration of hollow sphere about an axis passing through its centre of mass is more.

Assertion : A solid and a hollow sphere both of equal masses and radii are put on a rough surface after rotating with some angular velocity say omega_(0) . Coefficient of friction for both the spheres and ground is same. Solid sphere will start pure rolling first Reason : Radius of gyration of hollow sphere about an axis passing through its centre of mass is more.

An inclined plane makes angle of 30^@ with horizontal.A solid sphere rolls down this inclined plane from rest without slipping .the acceleration of the sphere is :

A uniform sphere has radius R . A sphere of diameter R is cut from its edge as shown. Then the distance of centre of mass of remaining portion from the centre of mass of the original sphere is

A uniform sphere has radius R . A sphere of diameter R is cut from its edge as shown. Then the distance of centre of mass of remaining portion from the centre of mass of the original sphere is

A point mass m is released from rest at a distance of 3R from the centre of a thin-walled hollow sphere of radius R and mass M as shown. The hollow sphere is fixed in position and the only force on the point mass is the gravitational attraction of the hollow sphere. There is a very small hole in the hollow sphere through which the point mass falls as shown. The velocity of a point mass when it passes through point P at a distance R//2 from the centre of the sphere is

A point mass m is released from rest at a distance of 3R from the centre of a thin-walled hollow sphere of radius R and mass M as shown. The hollow sphere is fixed in position and the only force on the point mass is the gravitational attraction of the hollow sphere. There is a very small hole in the hollow sphere through which the point mass falls as shown. The velocity of a point mass when it passes through point P at a distance R//2 from the centre of the sphere is

A hollow sphere is held suspended. Sand is now poured into it in stages.The centre of mass of the sphere with the sand

A hollow sphere rolls down a 30^@ incline of length 6m without slipping. The speed of centre of mass at the bottom of plane is