A uniform rod of mass M and length l is hinged at point O as shown in fig. A small particle of mass M/3 strikes the rod with velocity v at a distance 3l/4 from O and sticks to it. Find the value of v such that the force exerted by the hinge on the rod just after the impact is 0.
The Attempt at a Solution
There are two forces exerted by the hinge, namely normal force and force due to impulse.
What will be the direction of the force due to impulse? Which force should be 0 according to the question?