A student throws a horizontal stick of length `L` up into the air. At the moment it leaves her hand the speed of stick's closes end is zero. The stick completes `N` turns as it is caought by the student at the initial release point. Find the height `h` to which the centre of mass of the rod rises.

A uniform rod of length lambda lies on a smooth horizontal table A particle moving on the table has a mass m and a speed v before the collision and it sticks to the rod after the collision. The rod has a mass M then find out. The velocity of the centre of mass C and the angular velocity of the system about the centre of mass after the collision.

A rigid rod of mass m & length l is pivoted at one of its ends. If it is released from its horizontal position, find the speed of the centre of mass of the rod when it becomes vertical.

A rigid rod of mass m & length l is pivoted at one of its ends. If it is released from its horizontal position, find the speed of the centre of mass of the rod when it becomes vertical.

A uniform rod of length lambda lies on a smooth horizontal table A particle moving on the table has a mass m and a speed v before the collision and it sticks to the rod after the collision. The rod has a mass M then find out. The moment of inertia of the system about the vertical axis passing through the centre of mass C after the collision.

A uniform horizontal rod of length l falls vertically from height h on two identical blocks placed symmertrically below the rod as shown in figure the coefficients of restitution are e _(1) and e_(2) the maximum height through which the centre of mass of the rod will rise after after bouncing off the blocks is

A metre stick weighing 240 g is pivoted at its upper end in such a way that it can freely rotate in a vertical plane through this end figure. A particle of mass 100 g is attached to the upper end of the stick through a light sting of length 1 m. Initially the rod is kept veritcal and the string horizontal when the system is released from rest. The particle colides with the lower end of the stick and sticks there. Find the maximum angle through which the stick will rise.

A metre stick weighing 240 g is pivoted at its upper end in such a way that it can freely rotate in a vertical plane through this end figure. A particle of mass 100 g is attached to the upper end of the stick through a light sting of length 1 m. Initially the rod is kept veritcal and the string horizontal when the system is released from rest. The particle colides with the lower end of the stick and sticks there. Find the maximum angle through which the stick will rise.

A uniform rod of length L lies on a smooth horizontal table. The rod has a mass M . A particle of mass m moving with speed v strikes the rod perpendicularly at one of the ends of the rod sticks to it after collision. Find the velocity of the centre of mass C and the angular, velocity of the system about the centre of mass after the collision.

A uniform rod of length L lies on a smooth horizontal table. The rod has a mass M . A particle of mass m moving with speed v strikes the rod perpendicularly at one of the ends of the rod sticks to it after collision. Find the velocity of the centre of mass C of the system constituting 'the rod plus the particle'.

A uniform rod of mass M and length L lies on a frictionless horizontal plane. A particle of same mass M moving with speed v_(0) perpendicular to the length of the rod strikes the end of the rod and sticks to it. Find the velocity of the center of mass and the angular velocity about the center of mass of (rod + particle) system.