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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