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The periodic time of a body executing S.H.M. is 2 sec. after how much interval from t = 0., will its displacement be half of its amplitude? |
Answer» Here, T = 2s; t = ?, y = a/2 Now, y = asin ωt = asin\(\frac{2\pi}{T}t\) (∵ T = 2s) ∴ \(\frac{a}{2}=asin\frac{2\pi}{T}t=asin\,\pi t\) Or sin πt = \(\frac{1}{2}\) ∴ sin 30º = sin \(\frac{\pi}{6}\) Or πt = \(\frac{\pi}{6}\) or t = \(\frac{1}{6}\)sec. |
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