Problem of Oscillation of mass attached to spring with external force

[Saurabh Sikchi]

Homework Statement

A particle of mass m is attached to a spring (of spring constant k) and has a natural angular frequency ω₀. An external force. F(t) proportional to cos ωt(ω ≠ ω₀) is applied to the oscillator. The time displacement of the oscillator will be?

Homework Equations

F=-kx
=-mω²x

The Attempt at a Solution

F=-ω₀²x+F₀cos ωt

 

[m1rohit]

This is the problem of forced oscillation you can get it in any book on oscillation or acoustics