Question

In SI units, the differential equation of an S.H.M. is \(\frac{d^2x}{dt^2}=-36x\)  . Find its frequency and period. 

Answer 1

Given :  \(\frac{d^2x}{dt^2}=-36x\)

Comparing this equation with the general equation,

We get,  ω² = 36,  ∴ ω = 6 rad/s

ω = 2πη

The frequency, η = ω/2π = 6/(2x3.142) =  0.9548 Hz

and the period, T = 1/η = 1/0.9548 = 1.047s