A uniform rod of length `2a` is placed horizontally on the edge of a table. Initially the centre of mass of the rod is at a distance `a//3` from the edge. The rod is released from rest. If the rod slips after it turned an angle `theta`, find the coefficient of friction between the rod and the table.

A uniform rod of mass m , length l rests on a smooth horizontal surface. Rod is given a sharp horizontal impulse p perpendicular to the rod at a distance l//4 from the centre. The angular velocity of the rod will be

A thin rod of mass m and length 2l is placed horizontally and perpendicular to a horizontal rough nail, as shown in figure and set free. The point of contanct of the rod with the nails is l//3 distance away form the centre of rod. If the rod starts slipping when it forms an angle theta with the horizontal and the coefficient of friction of rod with nails is mu , then find (mu)/(tan theta) .

A uniform rod o length one meter is bent at its midpoint to make 90^@ . The distance of centre of mass from the centre of rod is (in cm )

One fourth length of a uniform rod of length 2l and mass m is place don a horizontal table and the rod is held horizontal. The rod is released from rest. Find the normal reaction on the rod as soon as the rod is released.

A uniform rod of mass M and length a lies on a smooth horizontal plane. A particle of mass m moving at a speed v perpendicular to the length of the rod strikes it at a distance a/4 from the centre and stops after the collision. Find a. the velocity of the cente of the rod and b. the angular velocity of the rod abut its centre just after the collision.

A uniform rod of mass 20 Kg and length 1.6 m is piovted at its end and swings freely in the vertical plane. Angular acceleration of the rod just after the rod is relased from rest in the horizontal position is

One-fourth length of a uniform rod of mass m and length l is placed on a rough horizontal surface and it is held stationary in horizontal position by means of a light thread as shown in the figure. The thread is then burnt and the rod start rotating about the edge. Find the angle between the rod and the horizontal when it is about to slide on the edge. The coefficient of friction between the rod and surface is mu .

A uniform rod of length l is given an impulse at right angles to its length as shown. Find the distance of instantaneous centre of rotation from the centre of the rod. .

A uniform thin rod of length 2L and mass m lies on a horizontal table. A horizontal impulse J is given to the rod at one red. There is no friction. The total kinetic energy of the rod just after the impulse will be

A uniform rod of length 2a is held with one end resulting on a smooth horizontal table makin an angle alpha with the vertical. When the rod is released,