A particle of mass m is under the influence of a force $F$ which varies with the displacement $x$ according to the relation $F = - kx + {F_0}$ in which $k$ and ${F_0}$ are constants. The particle when disturbed will oscillate
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(c) Restoring force is zero at mean position
$F = - Kx + {F_0}$$\Rightarrow$ $0 = - Kx + {F_0}$$\Rightarrow$ $x = \frac{{{F_0}}}{K}$
i.e. the particle will oscillate about $x = \frac{{{F_0}}}{K}$
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