Rotation 1 Question 4
4. A stationary horizontal disc is free to rotate about its axis. When a torque is applied on it, its kinetic energy as a function of , where is the angle by which it has rotated, is given as . If its moment of inertia is , then the angular acceleration of the disc is
(2019 Main, 9 April I)
(a)
(b)
(c)
(d)
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Answer:
Correct Answer: 4. (d)
Solution:
- Given, kinetic energy
We know that, kinetic energy of a rotating body about its axis
where,
Differentiating the above equation w.r.t. time on both sides, we get