Home
Class 12
PHYSICS
A rod AB of mass M, length L is lying on...

A rod AB of mass M, 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 is completely elastic. After the collision, the particle comes to rest. The ratio `m/M` is :

A

`(w^2L^2)/(9v_0^2)`

B

`(9v_0^2)/(w^2L^2)`

C

`(9v_0)/(wL)`

D

`(wL)/(9v_0)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

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 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 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 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 uniform rod of mass M and length l is placed on a smooth- horizontal surface with its one end pivoted to the surface. A small ball of mass m moving along the surface with a velocity v_(0) , perpendicular to the rod, collides elastically with the free end of the rod. Find: a. the angular velocity of the rod after collision. b. the impulse applied by the pivot on the rod during collision. (Take M//m = 2 )

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 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: