A light rigid rod of mass M, and length L is pivoted at one of its end. The rod can swing freely in the vertical plane through a horizontal axis passing through the pivot. Show that the time period of the rod about the pivot is `T = pi sqrt((2L)/(3g))`

A uniform rod of mass m and length L is free to rotate in the vertical plane about a horizontal axis passing through its end. The rod initially in horizontal position is released. The initial angular acceleration of the rod is:

A stick of mass m and length l is pivoted at one end and is displaced through an angle theta. The increase in potential energy is

A rigid rod of mass m & length l is pivoted at one of its ends. If it is released from its horizontal position, find the speed of the centre of mass of the rod when it becomes vertical.

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

A uniform rod of mass m and length l is suspended about its end. Time period of small angular oscillations is

A unifrom rod of mass m and length l_(0) is pivoted at one end and is hanging in the vertical at one end and is hagingh in the vertical direction.The period of small angular oscillations of the rod is

A thin plank of mass M and length l is pivoted at one end. The plank is releaed at 60^(@) from the vertical. What is the magnitude and direction of the force on the pivot when the plank is horizontal?

A rod AB of mass m and length L is rotating in horizontal plane about one of its ends which is pivoted. The constant angular speed with which the rod is rotating is omega . The force applied on the rod by the pivot is

A thin uniform rod of length l is pivoted at its upper end. It is free to swing in a vertical plane. Its time period for oscillation of small amplitude is

A slender uniform rod of mass M and length l is pivoted at one end so that it can rotate in a vertical plane, Fig. There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle theta with the vertical is