Rotational MotionHard
Question
A metal rod of length ′L′ and mass ′m′ is pivoted at one end. A thin disk of mass ′M′ and radius ′R′ (< L) is attached at its center 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 centre. The rod-disc system performs SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is (are) true?
Options
A.Restoring torque in case A = Restoring torque in case B
B.restoring torque in case A < Restoring torque in case B
C.Angular frequency for case A > Angular frequency for case B.
D.Angular frequency for case A < Angular frequency for case B.
Solution
In case A
mg(l/2)sinθ + Mg l sinθ
In case B
mg (l/2) sinθ + Mg l sinθ
mg(l/2)sinθ + Mg l sinθ
In case B
mg (l/2) sinθ + Mg l sinθ
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