Solveeit Logo

Question

Physics Question on Oscillations

A mass of 30kg30 \,kg is suspended from a spring of spring constant 15N/m15\, N/m. The time period of vertical oscillations of mass is

A

3π2s\frac{3\pi }{\sqrt{2}}s

B

2π2s2\pi \sqrt{2}\,s

C

π2s\pi \sqrt{2}\,s

D

22s2\sqrt{2}\,s

Answer

2π2s2\pi \sqrt{2}\,s

Explanation

Solution

For mass-spring system, time period T=2πmk=2π3015T=2\pi \sqrt{\frac{m}{k}}=2\pi \sqrt{\frac{30}{15}} =2π2=2\pi \sqrt{2} second.