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 uniform sphere of weight W and radius 5 cm is being held by string as shown in the figure. The tension in the string will be

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 cylinder of weight W and raidus R is to be raised onto a horizontal step of height h=R//3 as shown. A rope is wrapped around the cylinder and pulled horizontally. Assuming no slipping, find the minimum value of F to raise the cylinder.

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 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 thin circular ring of mass per unit length p and radius r is rotating at an angular speed omega as shown in figure. The tension in the ring is

A right circular cone of radius R and height 2 R is placed on a hemisphere of radius R . Locate c.m. of the combined mass from O .