A thin rod of length L.is vertically straight on horizontal floor.This rod falls freely to one side without slipping of its bottom.The linear velocity of center of rod when its top end touches floor is `sqrt((3gL)/(p))` then p is equal to

A thin metal rod of length 0.5 m is vertically straight on horizontal floor. This rod is falling freely to a side without slipping. The angular velocity of rod when its top end touches the floor is (nearly)

A thin rod of length L and mass M is held vertically with one end on the floor and is allowed to fall. Find the velocity of the other end when it hits the floor, assuming that the end on the floor does not slip?

A rod of mass m and length l is held vertically on a smooth horizontal floor. Now it is released from this position, find the speed of its centre of mass when it makes an angle theta with the vertical.

A rod of mass M and length L is falling vertically with speed v . Suddenly its one end gets stuck in a friciitonless hook. Find the angular velocity of the rod just after its end gets struck.

A rod of length L , hinged at the bottom is held vertically and then allowed to fall, the linear velocity of its top when it hits the floor is

A rod of length L is hinged from one end. It is brought to the horizontal position and released. The angular velocity of the rod when it is in the vertical position is sqrt(Kg//L) . Then find the value of K.

A rod of length 2 m is held vertically with one of its end on the floor. It is then allowed to fall. Calculate the speed of the other end when it strikes the floor. Assume that the end of the rod which is on the floor does not slip.

A uniform rod of length l is held vertically on a horizontal floor fixing its lower end, the rod is allowed to fall onto the ground. Find (i) its angular velocity at that instant of reaching the ground (ii) The linear velocity with which the tip of rod hits the floor.

A straight rod of length L is released on a frictionless horizontal floor in a vertical position. As it falls + slips, the distance of a point on the rod from the lower end, which follows a quarter circular locus is