Question

A block of a mass $2\, kg$ is attached with two identical springs of spring constant $20\, N / m$ each The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure) When the mass is displaced from its equilibrium position, it executes a simple harmonic motion The time period of oscillation is $\frac{\pi}{\sqrt{x}}$ in SI unit The value of $x$ is

Answer 1

The correct answer is 5.
F=−2kx,a=−m2kx​,ω=m2k​​=22×20​​
=20​rad/s
T=ω2π​=20​2π​=5​π​
x=5