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  4. For a particle x = A cos (ω t +(π/6)) then the value(s) of ' t ' when it is at rest is :

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Q. For a particle $x = A \cos \left(\omega t +\frac{\pi}{6}\right)$ then the value(s) of ' $t$ ' when it is at rest is :

Oscillations

Solution:

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$t_{1}=\frac{\theta}{\omega}=\frac{\pi-\pi / 6}{\omega}=\frac{5 \pi}{6 \omega}$
$t_{2}=\frac{2 \pi-\pi / 6}{\omega}=\frac{11 \pi}{6 \omega}$