With symbols having the usual meanings, the single degree of freedom system, (m ddot{x}+c dot{x}+k x=F sin

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With symbols having the usual meanings, the single degree of freedom system, \(m \ddot{x}+c \dot{x}+k x=F \sin \omega t\) represents

(a) free vibration with damping

(b) free vibration without damping

(c) forced vibration with damping

(d) forced vibration without damping.

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