A particle of mass $m$ is attached to a spring (of spring constant $k$) and has a natural angular frequency ${\omega _0}.$ An external force $F(t)$ proportional to $\cos \,\omega t\left( {\omega \ne {\omega _0}} \right)$ is applied to the oscillator. The time displacement of the oscillator will be proportional to

Question

${1 \over {m\left( {\omega _0^2 + {\omega ^2}} \right)}}$

${1 \over {m\left( {\omega _0^2 - {\omega ^2}} \right)}}$

${m \over {\omega _0^2 - {\omega ^2}}}$

${m \over {\omega _0^2 + {\omega ^2}}}$

Solution

Please login to view the detailed solution steps...

Go to DASH