A rigid body of mass \( m \) rotates with the angular velocity \( \omega \) about an axis at a d...

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A rigid body of mass \( m \) rotates with the angular velocity \( \omega \) about an axis at a distance ' \( a \) ' from the centre of mass \( G \). The radius of gyration about \( G \) is \( K \). Then kinetic energy of rotation of the body about new parallel axis is
(a) \( \frac{1}{2} m K^{2} \omega^{2} \)
(b) \( \frac{1}{2} m a^{2} \omega^{2} \)
(c) \( \frac{1}{2} m\left(a^{2}+K^{2}\right) \omega^{2} \)
(d) \( \frac{1}{2} m\left(a+K^{2}\right) \omega^{2} \)
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