Question

A body undergoes SHM as per the equation $y=Asin\omega t$, where symbols have their usual meanings. Find its acceleration.

Answer 1

Given, $y=Asin\omega t$
Now, velocity is given by $v=\frac{dy}{dt}$
$\Rightarrow v=\omega Acos\omega t$
Acceleration is given by $a=\frac{dv}{dt}$
$\Rightarrow a=-{\omega }^{2}Asin\omega t$