Question

The acceleration of the particle moving with simple harmonic motion is inversely proportional to the displacement of the particle from the mean position.

• A. True
• B. False

Answer 1

The correct option is B False

Let the equation of SHM , $x=Asin\left(\omega t\right)$,

$\Rightarrow v=A\omega cos\left(\omega t\right)$

$\Rightarrow a=-A{\omega }^{2}sin\left(\omega t\right)$ $\Rightarrow a=-{\omega }^{2}x$,

$\therefore$ Acceleration is directly proportional to displacement of the particle from the mean position.