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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 center and (case B) the disc is free to rotate about its center. 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?

1392562_9d8e2b453af545aabaf000f834d3c3b5.png

A
Restoring torque in case A= Restoring torque in case B
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B
Restoring torque in case A< Restoring torque in case B
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C
Angular frequency for case A> Angular frequency for case B
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D
Angular frequency for case A< Angular frequency for case B
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Solution

The correct options are
A Restoring torque in case A= Restoring torque in case B
C Angular frequency for case A> Angular frequency for case B
1790055_1392562_ans_37af4943579d4c3f8d537e077458d5e1.jpg

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