A body oscillates with $S.H.M.$ according to the equation $x=(5.0 \,m ) \cos \left[\left(2 \pi \,rad s ^{-1}\right) t+\pi / 4\right]$ At $t=1.5 \,s$, its acceleration is ....... $m / s ^2$
Medium
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(b)
$x=5 \cos (2 \pi t+\pi / 4)$
$t=\frac{3}{2} s$
$x=5 \cos (3 \pi+\pi / 4)$
$x=5 \cos \left(\frac{13 \pi}{4}\right)$
$x=-5 \cos \frac{\pi}{4}$
$x=-\frac{5}{\sqrt{2}}$
Acceleration
$a=-\omega^2 x$
$a=-4 \pi^2 x-\frac{5}{\sqrt{2}}$
$a=139.56 \,m / s ^2$
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