A uniform circular disc of radius `R` is placed on a smooth horizontal surface with its plane horizontal and hinged at circumference through point O as shown . An impulse P is applied at a perpendicular distance `h` from its centre C. The value of h so that the impulse due to hinge is zero, is

A disc having radius r = 2 m is placed on smooth horizontal surface. Velocity of point A and B is given as shown in fig. Distance between point O and axis of rotation at the particular instant is

A disc having radius r = 2 m is placed on smooth horizontal surface. Velocity of point A and B is given as shown in fig. Distance between point O and axis of rotation at the particular instant is

A solid sphere of radius R is placed on a smooth horizontal surface. A horizontal force F is applied at height h from the lowest point. For the maximum acceleration of the centre of mass

A solid sphere of radius R is placed on a smooth horizontal surface. A horizontal force F is applied at height h from the lowest point. For the maximum acceleration of the centre of mass

A solid sphere of radius R is placed on a smooth horizontal surface. A horizontal force F is applied at height h from the lowest point. For the maximum acceleration of the centre of mass

A rod AB of length 2 m and mass 2 kg is lying on a smooth horizontal x-y plane with its centre at origin O as shown in figure. An impulse J of magnitude 10 N-s is applied perpendicular to AB at A. The distance of point P from centre of the rod which is at rest just after impact is

A ring and a disc of same mass m and same radius R are joinged concentrically. This system is placed on a smooth plane with the common axis parallel to the plane as shown in figure. A horizontal force F is applied on the system at a point which is at a distance x from the centre. The value of x so that it starts pure rolling is