The displacement $y(t) = A\,\sin \,(\omega t + \phi )$ of a pendulum for $\phi = \frac {2\pi }{3}$ is correctly represented by
AIEEE 2012, Diffcult
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Displacement $y(t)=A \sin (w t+\phi)$
$[Given]$
For $\phi=\frac{2 \pi}{3}$
at $t=0 ; y=A \sin \phi=A \sin \frac{2 \pi}{3}$
$=A \sin 120^{\circ}=0.87 A\left[\because \sin 120^{\circ}=0.866\right]$
Graph $(a)$ depicts $y=0.87 A$ at $t=0$
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