A circular rope of weight W and radius `r=R/2` is resting on a smooth sphere of radius R The tension in rope is

A block of mass M with a semi - circular track of radius R rests on a smooth floor. A sphere of mass m and radius r is released from rest from A . Find the velocity of sphere and track , when the sphere reaches B .

A block of mass M with a semi - circular track of radius R rests on a smooth floor. A sphere of mass m and radius r is released from rest from A . Find the velocity of sphere and track , when the sphere reaches B .

The volume of a sphere of radius 2r is

The radius of gyration of a sphere of radius R about a tangent is.

A rope of length ((pi)/(2) + 1) R has been placed on a smooth sphere of radius R as shown in figure. End A of the rope is at the top of the sphere and end B is overhanging. Mass per unit length of the rope is lambda . The horizontal string holding this rope in place can tolerate tension equal to weight of the rope. Find the maximum mass (M_(0)) of a block that can be tied to the end B of the rope so that the string does not break.

A uniform circular chain of radius r and mass m rests over a sphere of radius R as shown in figure. Friction is absent everywhere and system is in equilibrium . Find the tension in the chain.

A uniform circular chain of radius r and mass m rests over a sphere of radius R as shown in figure. Friction is absent everywhere and system is in equilibrium . Find the tension in the chain.

A unofrom rope of mass m is placeced on a smooth fixed sphere of radius R as shown in the figure .Find the tension T in the rope when it is in a horizontal plane at a vertical distance h=R/2 below the top of the sphere .

A loop of rope is whirled at a high angular velocity omega , so that it becomes a taut circle of radius R . A kink develops in the whirling rope. (a) Show that the speed of the kink in the rope is v = omegaR . (b) Under what conditions does the kink remains stattionary relative to an observer on the ground?

A loop of rope is whirled at a high angular velocity omega , so that it becomes a taut circle of radius R . A kink develops in the whirling rope. (a) Show that the speed of the kink in the rope is v = omegaR . (b) Under what conditions does the kink remains stationary relative to an observer on the ground?