In the diagram shown below, the rod is uniform having mas M and length L. When it is making an angle `= 60^(@)` the rod is released from the state of rest (and spring in its natural lenth) The rod comes to state of rest when the angle theta reduces to `30^(@)`. What should be the initial compression in the spring (when `theta = 60^(@))` so that the whole system can remain in the state of rest? (there is no friction between any surfaces)

In the diagram shown below, the rod is uniform having mass M and length L. When it is making an angle theta=60^(0) , the rod is released from the state of rest (and spring in its natural length). The rod comes to state of rest when the angle theta reduces to 30^(@) . What should be the initial compression in the spring (when theta = 60^(@)) so that the whole system can remain in the state of rest? (there is no friction between any surfaces)

A uniform rod of mas m and length l is made to stand at an angle of 60^(@) with the vertical. What is the potential energy of the rod in this position?

A uniform rod of mass M and length L is hinged at its end. The rod is released from its vertical position by slightly pushing it. What is the reaction at the hinge when the rod becomes horizontal, again vertical.

The block shown in figure is released from rest and initially the spring is at its natural length. Write down the energy conservation equation. When the spring is compressed by l_(1) ?

A rod of mass m and length l is hinged at 'its' end and released from rest in position shown. Find the force exerted by the hinge when the rod becomes horizontal

A rod of mass m and length l is held vertically on a smooth horizontal floor. Now it is released from this position, find the speed of its centre of mass when it makes an angle theta with the vertical.

Find the maximum tension in the spring if initially spring at its natural length when block is released from rest.

Find the maximum tension in the spring if initially spring at its natural length when block is released from rest.

The moment of inertia of a thin uniform rod of mass M, length L, about an axis passing through its centre and making an angle theta with the rod is