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.

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

A force F acts tangentially at the highest point of a sphere f mass m kept on a rough horizontal plane. If the sphere rolls without slipping, find the acceleration of the centre of the sphere.

A uniform solid sphere rolls up (witout slipping) the fixed inclined plane, and then back down. Which is the correct graph of acceleration a of centre of mass of solid sphere as function of time t (for the duration sphere is on the incline)? Assume that the sphere rolling up has a positive velocity.

The sphere shown in figue lies on a rough plane when a particle of mass m travbelling at a speed v_0 collides and sticks with it. If the line of motion of the particle is at a distance h above the plane, find a. the linear speed o the combine dsystem just after teh collision b. the angular speed of the system about the centre of the sphere just the collistion c. the value of h for which the sphere starts pure rolling on the plane Assume that the mass M of the sphesre is large compared to teh mass of the partcle so that is large compared toteh mass of the particle so that teh centre of mass of the combined system is not appreciably shifted from the centre of the sphere.

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