A billiard ball of mass m and radius r, when hit in a horizontal direction by a cue at a height h above its centre, acquired a linear velocity `v_(0).` The angular velocity `omega_(0)` acquired by the ball is

A sphere of mass m and radius R is kept on a rough floor. A sharp impulse is applied in the horizontal direction at the height of centre of sphere so that sphere acquires a linear velocity v_(0) without any angular velocity. Calculate the velocity of sphere when pure rolling starts.

A uniform disc of mass m and radius R is released gentiy on a horizontal rough surface. Such that centre of the disc has velocity V_(0) towards right and angular velocity omega_(0) (anticlockwise) as shown. Disc will certainly come back to its intial position if

A uniform disc of mass m and radius R is released gentiy on a horizontal rough surface. Such that centre of the disc has velocity V_(0) towards right and angular velocity omega_(0) (anticlockwise) as shown. Disc will certainly come back to its intial position if

A solid sphere and a hollow sphere both of same mass and same radius are hit by a cue at a height h above the centre C . In which case, (a). Linear velocity will be more? (b). Angular velocity will be more? (c). rotational kinetic energy will be more?

A solid sphere and a hollow sphere both of same mass and same radius are hit by a cue at a height h above the centre C . In which case, (a). Linear velocity will be more? (b). Angular velocity will be more? (c). rotational kinetic energy will be more?

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 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 ?