A particle of mass \( \mathrm{m} \) and radius of gyration \( \mathrm{K} \) is rotating with an ...

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A particle of mass \( \mathrm{m} \) and radius of gyration \( \mathrm{K} \) is rotating with an angular acceleration \( \alpha \). The torque acting on the particle is
(1) \( \frac{1}{2} \mathrm{mK}^{2} \alpha \)
(2) \( \mathrm{mK}^{2} \alpha \)
(3) \( \mathrm{mK}^{2} / \alpha \)
(4) \( \frac{1}{4} \mathrm{mK}^{2} \alpha^{2} \)
(W)
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