Oscillations

JEE Main level, numerical answer, medium

15 of 194

Question 15 of 194

A particle is doing simple harmonic motion of amplitude 0.06 m0.06 \mathrm{~m} and time period 3.14 s3.14 \mathrm{~s}. The maximum velocity of the particle is _______ cm/s\mathrm{cm} / \mathrm{s}.

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Answer: 12

We know
$\begin{aligned}

\mathrm{V}_{\max } & =\omega \mathrm{A} \quad \text { at mean position } \\

& =\frac{2 \pi}{\mathrm{T}} \mathrm{A}=\frac{2 \pi}{\pi} \times 0.06=0.12 \mathrm{~m} / \mathrm{sec} \\

\mathrm{V}_{\max } & =12 \mathrm{~cm} / \mathrm{sec}

\end{aligned}$

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