Displacement y(t) = A,sin ,(omega t + phi ) of a pendulum for phi = frac {2π }{3} is co

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13.Oscillations

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The displacement $y(t) = A\,\sin \,(\omega t + \phi )$ of a pendulum for $\phi = \frac {2\pi }{3}$ is correctly represented by

A

B

C

D

(AIEEE-2012)

Solution

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 $t=0$

Standard 11

Physics

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