A metal rod of length L and mass m is pivoted at one end. A thin disk of mass M and…

Physics · JEE Advanced · NTA ExamsRotational Motion

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 not free to rotate its center. The rod-disc system perform SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is (are) true?
  1. Restoring torque in case A = Restoring torque in case B
  2. Restoring torque in case A < Restoring torque in case B
  3. Angular frequency for case A > Angular frequency for case B
  4. Angular frequency for case A < Angular frequency for case B

Answer

(D) Angular frequency for case A B

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