Question

Part of a simple harmonic motion is graphed in the figure, where $y$ is the displacement from the mean position. The correct equation describing this S.H.M. is

Answer 1

As we can see this curve is sinusoidal in nature,

It represents the graph of $y=cos\theta$

Now we find other parameters,

$A=2$

Time period is $0.6\pi$

$T=\frac{2\pi }{\omega }=0.6\pi \omega =\frac{2}{0.6}=3.3rad/sec$

$y=-2cos\left(3.3t\right)y=2sin(3.3t+\frac{3\pi }{2})$