A uniform rod `AB` of length `L` and mass `M` is lying on a smooth table. A small particle if mass `m` strike the rod with velocity `v_(0)` at point `C` at a distance comes to rest after collision. Then find the value of `x`, so that point `A` of the rod remains stationary just after collision.
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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 homogenous rod of length l=etax and mass M is lying on a smooth horizontal floor. A bullet of mass m hits the rod at a distance x from the middle of the rod at a velocity v_(0) perpendicular to the rod and comes to rest after collision. If the velocity of the farther end of the rod just after the impact is in the opposite direction of v_(0) , then:

A homogenous rod of length l=etax and mass M is lying on a smooth horizontal floor. A bullet of mass m hits the rod at a distance x from the middle of the rod at a velocity v_(0) perpendicular to the rod and comes to rest after collision. If the velocity of the farther end of the rod just after the impact is in the opposite direction of v_(0) , then:

A rod of mass m and length l in placed on a smooth table. An another particle of same mass m strikes the rod with velocity v_(0) in a direction perpendicular to the rod at distance x( lt l//2) from its centre . Particle sticks to the end. Let omega be the angular speed of system after collision , then Find the maximum possible value of impulse (by varying x) that can be imparted to the particle during collision. Particle still sticks to the rod.

A uniform rod of mass m and length l has been placed on a smooth table A particle of mass m, travelling perpendicular to the rod, hits it at a distance x = (l)/(sqrt6) from the centre C of the rod. Collision is elastic. (a) Find the speed of the centre of the rod and the particle after the collision. (b) Do you think there is a chance of second Collision? If yes, how is the system of particle and stick moving after the second collision?