
A ring of mass m free to slide on a fixed smooth horizontal rod is attached to a particle of mass M kg by a inextensible string of length . Initially, both M and m are at rest and the string is vertical. A horizontal velocity is imparted to the particle. The maximum height up to which block will rise w.r.t its initial position is (M = 2m)



Important Questions on Laws of Motion
















A small block starts slipping down from a point on an inclined plane , which is making an angle with the horizontal section is smooth and the remaining section is rough with a coefficient of friction . It is found that the block comes to rest as it reaches the bottom (point A) of the inclined plane. If , the coefficient of friction is given by . The value of is .......

In the diagram below the spring has a force constant of , the block has a mass of , and the height of hill is . Determine the compression of the spring such that the block just reaches to the top of the hill.
(Assume that there are no non-conservative forces involved.)





