Q. 605.0( 2 Votes )

A uniform rod of length L lies on a smooth horizontal table. A particle moving on the table strikes the rod perpendicularly at an end and stops. Find the distance travelled by the center of the rod by the time it turns through a right angle. Show that if the mass of the rod is four times that of the particle, the collision is elastic.

Answer :


Given: Length of the rod= L


Let the mass of the particle = m


Mass of the rod= M


Velocity at which it strikes the rod= v


Velocity of the rod after striking= V’


Consider it as a single system


No external torque is applied on the system


Using law of conservation of the linear momentum




Using law of conservation of the angular momentum





Therefore, distance travelled:


V’t= V’



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