A solid sphere with a velocity (of centre of mass) `v` and angular velocity `omega` is gently placed on a rough horizontal surface. The frictional force on the sphere :

A solid cylinder is rolling without slipping with velocity of its centre of mass v and angular velocity about its centre of mass omega on a horizontal frictionless surface as shown in figure. If it collides with a frictionless vertical wall X , then after collision its velocity and angular velocity respectively become

A solid cylinder is rolling without slipping with velocity of its centre of mass v and angular velocity about its centre of mass omega on a horizontal frictionless surface as shown in figure. If it collides with a frictionless vertical wall X , then after collision its velocity and angular velocity respectively become

A ring of radius R is first rotated with an angular velocity omega and then carefully placed on a rough horizontal surface. The coefficient of friction between the surface and the ring is mu . Time after which its angular speed is reduced to half is

A ring of radius R is first rotated with an angular velocity omega and then carefully placed on a rough horizontal surface. The coefficient of friction between the surface and the ring is mu . Time after which its angular speed is reduced to half is

A hoop of radius r mass m rotating with an angular velocity omega_(0) is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it cases to slip ?

A hoop of radius r mass m rotating with an angular velocity omega_(0) is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it cases to slip ?

A hoop of radius r and mass m rotating with an angular velocity omega_0 is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases ot slip?

A solid sphere spinning about a horizontal axis with an angular velocity omega is placed on a horizontal surface. Subsequently it rolls without slipping with an angular velocity of :