A particle of mass \( m \) is under the influence of a force \( F \...
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A particle of mass \( m \) is under the influence of a force \( F \) which varies with the displacement \( x \) according to the
\( \mathrm{P} \) relation \( F=-k x+F_{0} \) in which \( k \) and \( F_{0} \) are constants. The
W particle when disturbed will oscillate
[UPSEAT 2001]
(a) about \( x=0 \), with \( \omega \neq \sqrt{k / m} \)
(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 \( \omega \neq \sqrt{k / m} \)
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