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 displacementthe resultant acceleration |
...(i) |
External force, ...(ii) |
Since, (given) |
From Eq. (ii), |
...(iii) |
Now, equation of simple harmonic motion |
...(iv) |
At |
(as) |
...(v) |
Hence, from Eqs. (iii) and (v). we finally get |
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