S H M problem Time Period

just find by how much does the spring stretches when you displace the mass by x

Let the spring be stretched by x₀ and the block be displaced by x.

If the restoring force on the block be F_r.

Note, 2x₀=x ... (i)

2F_r = kx₀

x₀ = 2F_rk

Put in (i),

4F_rk=x

4mω²x = kx

ω = 12√(k/m)

Time period = 4\pi \sqrt{\frac{m}{k}}

Ohh thanks Ashish i did everything right except equating 2f_r=kx_o i equated
f_r=kx_o