A rod of mass M and length L is lying on a horizontal frictionless surface. A particle of mass 'm' travelling along the surface hits at one end of the rod with a velocity 'u' in a direction perpendicular to the rod. The collision is completely elastic. After collision, particle comes to rest. The ratio of masses `((m)/(M))" is "(1)/(x)`. The value of 'x' will be_____.

A rod AB of mass M and length L is lying on a horizontal frictionless surface. A particle of mass m traveling along the surface hits the end A of the rod with a velocity v_(0) in a direction perpendicular to AB . The collision is completely elastic. After the collision the particle comes to rest. Find the ration m//M .

A rod AB of mass M and length L is lying on a horizontal frictionless surface. A particle of mass m travelling along the surface hits the end A of the rod with a velocity v_(0) in a direction perpendicular to AB. The collision in elastic. After the collision the particle comes to rest (a). Find the ratio m//M (b). A point P on the rod is at rest immediately after collision find the distance AP. (c). Fid the linear speed of the point P a time piL//3v_(0) after the collision.

A rod AB of length 2L and mass m is lying on a horizontal frictionless surface. A particle of same mass m travelling along the surface hits the rod at distance (L)/(2) from COM with a velocity v_(0) in a direction perpendicular to rod and sticks to it. Angular velocity of rod just after collision is

A rod of mass m and length l is lying on a horizontal table. Work done in making it stand on one end will be

A rod AC of length l and mass m is kept on a horizontal smooth plane. It is free to rotate and move. A particle of same mass m moving on the plane with velocity v strikes the rod at point B making angle 37^@ with the rod. The collision is elastic. After collision,

A rod of mass M and length L is kept on a frictionless horizontal floor. A particle of mass m moving perpendicular to the rod with a speed v strikes at the end of the rod and sticks there. Calculate angular velocity acquired by the combined system.

A slender rod of mass M and length L rests on a horizontal frictionless surface. The rod is pivoted about one of ends. The impulse of the force exerted on the rod by the pivot when the rod is struck by a blow of impulse J perpendicular to the rod at other end is