A uniform rod smoothly pivoted at one of its ends is released from rest. If it swings in vertical plane, the maximum speed of the end `P` of the rod is.
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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 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 light rigid rod of length 4 m is connected rigidly with two identical particles each of mass m = 2 kg . the free end of the rod is smoothly pivoted at O . The rod is released from rest from its horizontal position at t = 0 . Find the reaction offered by the pivot at t = 0 (in N ).

A uniform rod of mass m and length l pivoted at one of its top end is hanging freely in vertical plane. Another identical rod moving horizontally with velocity v along a line passing through its lower end hits it and sticks to it. The two rods were perpendicular during the hit and later also they remain perpendicularly connected to each other. Find the maximum angle turned by the two-rod system after collision.

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 If the support is withdrawn at this instant, describe the subsequent motion of the rod.

A uniform rod of length l and mass M pivoted about its end as shown in Fig. and is free to rotate in the vertical plane about the pivot. The rod is released from rest in the horizontal position. (a) What is the initial angular acceleration of the rod? (b) Find the initial acceleration of the right end of the rod? ( c) Find normal contact force due to hinge when rod has rotated through angle theta as shown in Fig.

A rod of mass m and length l is himged about one of its ends. The rod is released from horizontal position. When the rod becomes vertical, calculate (i) angular speed of the rod (ii) Hinge reaction.

A uniform rod of mass m, hinged at its upper end, is released from rest from a horizontal position. When it passes through the vertical position, the force on the hinge is

A slender uniform rod of mass M and length l is pivoted at one ens 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

A rod of length l is released from the vertical position on a smooth horizontal plane. What is the nature of motion of the free end of the rod ?