CENTRE OF MASS OF UNIFORM ROD

Centre of Mass: Basics, finding COM of system of particles COM of continuous bodies : Uniform and Non-uniform Rod, Semi-circular Rod, Disc Displacement, velocity and acceleration of COM, Motion of COM.

Choose the correct options Select WRONG statement about centre of mass: A. Centre of mass of a 'C' shaped uniform rod can never be a point on that rod. B. If the line of action of a force passes through the centre of mass, the moment of that force is zero. C. Centre of mass of our Earth is not at its geometrical centre. D. While balancing an object on pivot, the line of action of the gravitational force of the earth passes through the centre of mass of the object.

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 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 uniform thin rod is bent in the form of closed loop ABCDEFA as shown in the figure. The y- coordinate of the centre of mass of the system is

A uniform thin rod is bent in the form of closed loop ABCDEFA as shown in the figure. The y- coordinate of the centre of mass of the system is

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'.

Consider the uniForm rod oF mass M=4m and length l pivoted about its centre. A mass m moving with velocity v making angle theta=(pi)/(4) to the rod's long axis collides with one end oF the rod and sticks to it. The angular oFIGURE the rod-mass system just aFIGUREter the collision is:

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 angular momentum of the particle and of then about the centre of mass C before the collision.