Q. Two identical blocks are placed on a smooth horizontal surface, connected by a light string of length . String touches a fixed smooth pulley at its mid-point initially. Which is attached to two smooth vertical walls as shown in figure-. Block is given a speed perpendicular to string as shown in diagram. strikes the pulley and stops.

Speed of block when it hits the pulley is :

System of Particles and Rotational Motion Report Error

A

B

C

D

Solution:

Let velocity of block at the moment of hit be .
So component of velocity of along string at that instant is also and component perpendicular to string is , then using conservation of angular momentum about pulley we have

Using conservation of energy we have
Initial

Solving

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