Question

A body of mass 0.01 kg executes simple harmonic motion (SHM) about x = 0 under the influence of a force show below.

The time period of the SHM is approximately

• A. 1.05s
• B. 0.52s
• C. 0.25
• D. 0.03s

Answer 1

The correct option is D

0.03s

We have $a=-{\omega }^{2}x$

or $-\frac{a}{x}={\omega }^2$

or $-\frac{ma}{x}=m{\omega }^2$

or $-\frac{F}{x}=m{\omega }^2$

or $\frac{80}{0.2}=0.01{\omega }^2$

$\omega =200,T=\frac{2\pi }{200}=0.03s$