A disc of radius `R` and mass `m` is projected on to a horizontal floor with a backward spin such that its centre of mass speed is `v_(0)` and angular velocity is `omega_(0)`. What must be the minimum value of `omega_(0)` so that the disc eventually returns back?

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 uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity v_(0) and angular velocity omega_(0) as shown. The disc comes to rest after moving some distance to the right. It follows that

A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity v_(0) and angular velocity omega_(0) as shown. The disc comes to rest after moving some distance to the right. It follows that

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 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 thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to the plane with angular velocity omega . Another disc of same mass but half the radius is gently placed over it coaxially. The angular speed ofthe composite disc will be:

A thinuniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane withan angular velocity omega .Another disc of same dimensions but of mass M/4 is placed gently onthe first disc co-axially, then the angular velocity of the system is