Question

A thin rod ab (mass m and length l) rests through vertical wall with coefficient of friction ua

Answer 1

Explanation:

Let C be centre of mass of the rod of mass M and length L. Consider the rod and the particle together as a system. Let v be velocity of C and ω be angular velocity of the rod just after collision. The linear momentum of the system just before and just after the collision

where pi,f are the initial and final linear momentum of the system.

There is no external force on the system in x direction. Hence, linear momentum in x-direction is conserved i.e., pi=pf, which gives,