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 length 1 m is bent at right angles at its mid-point. What is the distance of the centre of mass from the mid-point of the rod?

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 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

One - fourth length of a uniform rod is placed on a rough horizontal surface and it starts rotating about the edge as soon as we release it. The rod starts slipping on the edge when it has turned through an angle theta . If the coefficient of friction between rod and surface is mu , and it satisfies the relation x tan theta=4mu , then what is the value of x? ["Take "g=10m//s^(2)]

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) .