A metal rod of length 'L' and mass 'm' is pivoted at one end. A thin disc of mass 'M' and radius 'R' (ltL) is attached at its center to the free end of the rod. Consider two ways the disc is attached : (case A). The dise is not free to rotate about its centre and (case B) the disc is free to rotate about its centre. The rod disc system perfoms (SHM) in vertical plane after being released from the same displacement position. Which of the following statement (s) is (are) true ?
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A metal rod of length 'L' and mass 'm' is piovted at one end. A thin disk of mass 'M' and radius 'R' (lt L) . Is attached at its centre to the free end of the rod. Consider two ways the disc is attached: (case A ). The disc is not free to rotate about its centre and (case B ) the disc is free to rotate about its center. The rod-disc sustem perform SHM in vertical plane after being released from the same displaced potion. Which of the following statement(s) is (are) true?

A metal rod of length 'L' and mass 'm' is piovted at one end. A thin disk of mass 'M' and radius 'R' (lt L) . Is attached at its centre to the free end of the rod. Consider two ways the disc is attached: (case A ). The disc is not free to rotate about its centre and (case B ) the disc is free to rotate about its center. The rod-disc sustem perform SHM in vertical plane after being released from the same displaced potion. Which of the following statement(s) is (are) true?

One end of a metal rod of length L and mass M is pivoted to a fixed support and to its free end, a thin disc of mass m and radius r (L) is attached at its centre. In one case, the disc is attached to the rod in such a way that it is not free to rotate about its centre and in another case, teh disc is free to rotate about its centre. When the rod-disc system is displaced slightly from its equilibrium position and released. it peforms S.H.M. in vertical plane. Compare the restoring torque acting on the system and angular frequency in both the cases.

The ends of a rod of length l and mass m are attached to two identical springs as shown in the figure. The rod is free to rotate about its centre O . The rod is depressed slightly at end A and released . The time period of the oscillation is

A uniform rod of mass M and length L with two particles m and m_(2) attached to its ends, is pivoted at its centre. The system rotates in a vertical plane with angular velocity omega .

Two equal and opposite forces F are allplied tangentially to a uniform disc of mass M and radius R . If the disc is pivoted at its centre and free to rotate in its plane, the angular acceleration of the disc is :

Two thin discs each of mass M and radius r are attached as shown in figure, to from a rigid body. The rotational inertia of this body about an axis perpendicular to the plane of disc B and passing through its centre is : .