A uniform rod of length `L` pivoted at the bottom of a pond of depth `L//2` stays in stable equilibrium as shown in the figure.

Find the force acting at the pivoted end of the rod in terms of mass `m` of the rod.

A uniform rod of length L pivoted at the bottom of a pond of depth L//2 stays in stable equilibrium as shown in the figure. Find the angle 0 if the density of the material of the rod is half of the density of water.

A uniform rod of length L pivoted at the bottom of a pond of depth L//2 stays in stable equilibrium as shown in the figure. Find the angle 0 if the density of the material of the rod is half of the density of water.

A uniform rod of mass m and length l is pivoted smoothly at point O as shown in figure. If a horizontal force F acts at the bottom of the rod and omega is the angular velocity of the rod which is a function of angle of rotation theta , then the maximum angular displacement of the rod is (Acceleration due to gravity, g)

A light rod of length 1 m is pivoted at its centre and two masses of 5 kg and 2 kg are hung from the ends as shown in the figure. Find the initial angular acceleration of the rod assuming that it was horizontal in the beginning.

A light rod of length 1 m is pivoted at its centre and two masses of 5 kg and 2 kg are hung from the ends as shown in the figure. Find the initial angular acceleration of the rod assuming that it was horizontal in the beginning.

A ligh rod of length 1 m is pivoted at its centre and two masses of 5 kg and 2 kg are hung from the ends as shown in the figure. Find the initial angular acceleration of the rod assuming that it was horizontal in the beginning.

A uniform rod of length L and mass m is free to rotate about a frictionless pivot at one end as shown in figure. The rod is held at rest in the horizontal position and a coin of mass m is placed at the free end. Now the rod is released The reaction on the coin immediately after the rod starts falling is

A uniform rod of length L and mass m is free to rotate about a frictionless pivot at one end as shown in figure. The rod is held at rest in the horizontal position and a coin of mass m is placed at the free end. Now the rod is released The reaction on the coin immediately after the rod starts falling is

A uniform slender rod of mass M and length L is pivoted at its end. The rod is released from its nearly vertical position. What is the reaction at the pivot when the rod reaches the horizontal position? If the support is withdrawn at this instant, describe the subsequent motion of the rod.