A rod of mass m,length l pivoted at its centre is free to rotate in a vertical plane.The rod is at rest and is in vertical position.A bullet of mass m/2 moving horizontally with speed v strikes and sticks to one end of the rod. Angular velocity of system just after collision is

Consider a rod of mass M and length L pivoted at its centre is free to rotate in a vertical position plane. The rod is at rest in the vertical position. A bullet of mass M moving horizontally at a speed v strikes and embedded in one end of the rod. The angular velocity of the rod just after the collision will be.

Moment of inertia of uniform rod of mass M and length L about an axis through its centre and perpendicular to its length is given by (ML^(2))/(12) . Now consider one such rod pivoted at its centre, free to rotate in a vertical plane. The rod is at rest in the vertical position. A bullet of mass M moving horizontally at a speed v strikes and embedded in one end of the rod. The angular velocity of the rod just after the collision will be

A rod of mass 4m and length L is hinged at the mid point. A ball of mass 'm' moving with speed V in the plane of rod, strikes at the end at an angle of 45^@ and sticks to it. The angular velocity of system after collision is-

A rod of mass m and length l hinged at the centre is placed on a horizontal surface. A bullet of mass m moving with velocity v strikes the end. A of the rod and gets embedded in it. The angular velocity with which the systems rotates about its centre of mass after the bullet strikes the rod

Consider the uniFIGUREorm rod oFIGURE 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 oFIGURE the rod and sticks to it. The angular oFIGURE the rod-mass system just aFIGUREter the collision is:

A light rigid rod has a small ball of mass m attached to its one end. The other end is hinged on a table and the rod can rotate freely in vertical plane. The rod is released from vertical position and while falling the ball at its end strikes a hemisphere of mass m lying freely on the table. The collision between the ball and the hemisphere is elastic. The radius of hemisphere and length of the rod are R and 2R respectively. Find the velocity of the hemisphere after collision.

A rod of length l is released from the vertical position on a smooth horizontal plane. What is the nature of motion of the free end of the rod ?