A) \[\frac{m}{\omega _{0}^{2}-{{\omega }^{2}}}\]
B) \[\frac{1}{m(\omega _{0}^{2}-{{\omega }^{2}})}\]
C) \[\frac{1}{m(\omega _{0}^{2}+{{\omega }^{2}})}\]
D) \[\frac{m}{\omega _{0}^{2}+{{\omega }^{2}}}\]
Correct Answer: B
Solution :
[b] Initial angular velocity of particle![]() |
and at any instant t, angular velocity![]() |
Therefore, for a displacement![]() |
![]() |
External force, ![]() |
Since, ![]() |
From Eq. (ii), |
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Now, equation of simple harmonic motion |
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At ![]() |
![]() ![]() |
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![]() ![]() |
Hence, from Eqs. (iii) and (v). we finally get |
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