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Displacement of a point mass executing SHM is given by $x = asin (ωt + π / 6)$ . After the elapse of what fraction of the time period, the velocity of the point will be equal to half of its maximum velocity ?

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T/8

T/3

T/6

T/12

answer is B.

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Detailed Solution

$\begin{aligned} at \begin{array}{l} t = 0 x = \frac{A}{2}, v = \frac{v_{max}}{2} at x = \sqrt{3} \frac{A}{2} \\ Δt = t_{2} - t_{1} \end{array} \end{aligned}$

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