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The angular velocities of three bodies in simple harmonic motion are \( \omega_{1}, \omega_{2}, \omega_{3} \) with their respective amplitudes as \( A_{1} \),
\( \mathrm{P} \) \( A_{2}, A_{3} \). If all the three bodies have same mass and velocity, then
[BHU 2002]
W
(a) \( A_{1} \omega_{1}=A_{2} \omega_{2}=A_{3} \omega_{3} \)
(b) \( A_{1} \omega_{1}{ }^{2}=A_{2} \omega_{2}{ }^{2}=A_{3} \omega_{3}{ }^{2} \)
(c) \( A_{1}^{2} \omega_{1}=A_{2}^{2} \omega_{2}=A_{3}^{2} \omega_{3} \)
(d) \( A_{1}^{2} \omega_{1}^{2}=A_{2}^{2} \omega_{2}^{2}=A^{2} \)
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