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