Question

A particle of mass $1$ kg is undergoing S.H.M.,for which graph between force and displacement (from mean position) as shown.Its time period

• A. $\pi /3$
• B. $2\pi /3$
• C. $\pi /6$
• D. $3/\pi$

Answer 1

The correct option is B $2\pi /3$

Since we know that $F=-kx$
$\Rightarrow k=\frac{-F}{x}=\frac{-(-13.5)}{1.5}=9N/m$
and $T=2\pi \sqrt{\frac{m}{k}}=2\pi \sqrt{\frac{1}{9}}=\frac{2\pi }{3}s$