Question

When a mass m is attached to a spring, it normally extends by 0.2 m. The mass m is given a slight addition extension and released, then its time period will be

A) 1/7 sec B) 1 sec C) 2π/7 D) 2/3π

Answer 1

C) 2π/7

Explanations:

\(Kx=mg \)

\(\Rightarrow \frac{m}{K}=\frac{x}{g}\)

So \(T=2\pi\sqrt\frac{m}{K}\)

\(2\pi\sqrt\frac{x}{g}=2\pi\sqrt\frac{0.2}{9.8}\)

\(=\frac{2\pi}{7}\)sec