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?

Show that in order to get a billiard ball to roll without sliding from the start the cue must hit the ball not at the center (that is, a height above the table equal to the ball's radius R) but exactly at a height 2/5 R above the center [Hint, Consider linear momentum and angular motion of the ball. Apply the condtion for rolling without sliding. F = ma and tau = F xx h = 2/5mR^(2)xx alpha . Condition rolling without a sliding it a =alphaR]

In order to get a billiard ball to roll without sliding from the start, where should the cue hit ? Calculate the height from centre of the sphere. Take R as the radius of sphere.

In order to get a billiard ball to roll without sliding from the start, where should the cue hit ? Calculate the height from centre of the sphere. Take R as the radius of sphere.

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.

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.

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 uniform ball of radius r rolls without slipping down from the top of a sphere of radius R Find the angular velocity of the ball at the moment it breaks off the sphere. The initial velocity of the ball is negligible.

A uniform ball of radius r rolls without slipping down from the top of a sphere of radius R Find the angular velocity of the ball at the moment it breaks off the sphere. The initial velocity of the ball is negligible.

A uniform ball of radius r rolls without slipping down from the top of a sphere of radius R Find the angular velocity of the ball at the moment it breaks off the sphere. The initial velocity of the ball is negligible.

A small spherical ball of mass m slides without friction from the top of a hemisphere of radius R.At what height will the ball lose contact with surface of the sphere?