Question

Derive differentel equation of SHM Give solution of SHM​

Answer 1

Solutions of Differential Equation of SHM

The differential equation for the Simple harmonic motion has the following solutions:

(a)$x=Asin\omega t$ (This solution when the particle is in its mean position ​)

(b) $x_{0} =Asin\phi$(When the particle is at the position & (not at mean position)

(c) $x=A\sin \left( \omega t+\phi \right)$ (When the particle at Q at in figure (any time t).

differential equation is in attachment