A uniform bar of mass (m) is pivoted at point (O) and supported at the ends by

Question:

A uniform bar of mass $m$ is pivoted at point $O$ and supported at the ends by two springs, as shown in Fig. 3.60. End $P$ of spring $P Q$ is subjected to a sinusoidal displacement, $x(t)=x_{0} \sin \omega t$. Find the steady-state angular displacement of the bar when $l=1 \mathrm{~m}$, $k=1000 \mathrm{~N} / \mathrm{m}, c=500 \mathrm{~N}-\mathrm{s} / \mathrm{m}, m=10 \mathrm{~kg}, x_{0}=1 \mathrm{~cm}$, and $\omega=10 \mathrm{rad} / \mathrm{s}$.

image text in transcribed