A uniform rod AB of length `L` and mass `m` is suspended freely at A and hangs vertically at rest when a particle of same mass `m` is fired horizontally with speed `v` to strike the rod at its mid point. If the particle is brought to rest after the impact. Then the impulsive reaction at A is horizontal direction is

A uniform rod AB of length 2l and mass 2m is suspended freely at A and hangs vertically at rest when a particle of mass m is fired horizontally with speed v to strike the rod at its mid point. If the particle is brought to rest by the impact , find : (a) the impulsive reaction at A , (b) the initial angular speed of the rod and (c) the maximum angle the rod makes with the vertical in the subsequent motion . [mv/4 , 3v/8l , cos^(-1)(1- (3v^(2))/(32lg))"]"

A uniform rod of mass M is hinged at its upper end. A particle of mass m moving horizontally strikes the rod at its mid point elastically. If the particle comes to rest after collision find the value of M/m?

A uniform rod of mass M_(1) is hinged at its upper end as shown in the figure . A particle of mass M_(2) which is moving horizontally, strikes the rod elastically at its midpoint. If the particle comes to rest after collision then the value of (M_1)/(M_2) is

A uniform rod of mass M_(1) is hinged at its upper end as shown in the figure . A particle of mass M_(2) which is moving horizontally, strikes the rod elastically at its midpoint. If the particle comes to rest after collision then the value of (M_1)/(M_2) is

A uniform rod AB of mass 3m and length 2l is lying at rest on a smooth horizontal table with a smooth vertical axis through the end A. A particle of mass 2m moves with speed 2u across the table and strikes the rod at its mid-point C if the impact is perfectly elastic. Find the speed of the particle after impact if (a). It strikes rod normally, (b). Its path before impact was inclinded at 60^(@) to AC.

A uniform rod AB of mass 3m and length 2l is lying at rest on a smooth horizontal table with a smooth vertical axis through the end A. A particle of mass 2m moves with speed 2u across the table and strikes the rod at its mid-point C if the impact is perfectly elastic. Find the speed of the particle after impact if (a). It strikes rod normally, (b). Its path before impact was inclinded at 60^(@) to AC.

A uniform rod AB of length 2l and mass m is rotating in a horizontal plane about a vertical axis through A, with angular velocity omega , when the mid-point of the rod strikes a fixed nail and is brought immediately to rest. Find the impulse exerted by the nail.

A uniform rod AB of length 2l and mass m is rotating in a horizontal plane about a vertical axis through A, with angular velocity omega , when the mid-point of the rod strikes a fixed nail and is brought immediately to rest. Find the impulse exerted by the nail.

A uniform rod of length l and mass 2 m rests on a smooth horizontal table. A point mass m moving horizontally at right angles to the rod with velocity v collides with one end of the rod and sticks it. Then