Physics - SHM Question with Solution | TestHub

The equation of motion is

$y\text{= 0.2}\left({\mathit{cos}}^2\frac{\pi t}{2}-{\mathit{sin}}^2\frac{\pi t}{2}\right)$ , or

$y\text{ = 0.2cos}\pi t$ 

Above equation is an equation of $SHM$, Hence the motion of the particle is $SHM$.

Where,
$\omega \text{ = }\text{π}\text{ = }\frac{2\pi }{T}$

$\Rightarrow T=2 \mathrm{s}\mathrm{e}\mathrm{c}\mathrm{o}\mathrm{n}\mathrm{d}$

Amplitude $=0.2\mathrm{ }\mathrm{m}$