A) about \[x=0,\,\text{with }\omega \ne \sqrt{k/m}\]
B) about \[x=0,\,\text{with }\omega =\sqrt{k/m}\]
C) about \[x={{F}_{0}}/k\,\,\text{with }\omega =\sqrt{k/m}\]
D) about \[x={{F}_{0}}\text{/}k\,\text{with }\omega \ne \sqrt{k/m}\]
Correct Answer: C
Solution :
Restoring force is zero at mean position \[F=-Kx+{{F}_{0}}\]Þ \[0=-Kx+{{F}_{0}}\]Þ\[x=\frac{{{F}_{0}}}{K}\] i.e. the particle will oscillate about \[x=\frac{{{F}_{0}}}{K}\]
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