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Question

Two equal and opposite forces are applied tangentially to a uniform disc of mass M and radius R as shown in the figure. If the disc is pivoted at its centre and free to rotate in its plane, the angular acceleration of the disc is
1022226_d4ed550b8a7a4c2f912fb408cf70dc00.PNG

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Solution

Net torque on the disc is 2FR+2FR=4FR we added the torques because both have tendency to rotate the disc in same sense
we have following formula for angular acceleration as α=torquemoment of inertia =4FRMR22 = 8FMR it is the required answer.

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