The cue stick hits a cue ball horizontally a distance `x` above the centre of the ball. Find the value of `x` for which the cue ball will instantaneously roll without slipping. Calculate the answer in terms of the radius `R` of the ball.

Where must the cue hit a billiard ball so that it rolls without sliding form the start if R is the radius of the ball?

A solid sphere of mass M and radius R is hit by a cue at a height h above the centre C. for what value of h the sphere will rool without slipping ?

A system consists of a ball of radius R carrying a uniformly distributed charge q and the surrounding space filled with a charge of volume density rho = alpha//r , where alpha is a constant and r is the distance from the centre of the ball. Find the charge on the ball for which the magnitude of electric field strength outside the ball is constant? The dielectric constant of the ball and the surrounding may be taken equal to unity.

A spherical rigid ball is realeased from rest and starts rolling down an inclined plane from height h=7m, as shown in the figure. It hits a block at rest on the horizontal plane (assme elastic collision). If the mass of both the ball and the block is m and the ball is rolling without sliding, then the speed of the block after collision is close to

A billiard ball, initially at rest, is given a sharp impulse by a cue. The cue is held horizontally a distance h above the centre line as shown in figure. The ball leaves the cue with a speed v_(0) and because of its forward english (backward slipping) eventually acquires a final speed (9)/(7)v_(0) show that h=(4)/(5)R Where R is the radius of the ball.

A spherical ball of radius r and mass m is rolling without slipping on a horizontal table. Calculate the percentage of KE , which is translational.

A smooth ball of mass M and radius R is lying on a smooth horizontal table. A smaller ball of radius r and mass m travelling horizontally on the table with velocity u hits the larger ball. Collision is elastic. During the interaction of the balls the larger ball does not lose contact with the table at any instant (i) Calculate the velocity of the balls after collision. (ii) Calculate the maximum possible interaction force between the balls during collision.

A billiard ball is struck by a cue. The line of action of the applied impulse is horizontal andpasses through thecentre of theball. The initial velocityofthe ball is v_(0) . If is the radius, M is the mass of the ball and mu is the coefficient of friction between the ball and the floor, find how far the ball moves before it ceases to slip on the floor.

A homogeneous ball is placed on a plane making an angle theta with the horizontal. At what values of the coefficient of friction mu with the ball roll down the plane without slipping ? .