A spring-mass system is viscously damped with a viscous damping constant c. The energy dissipated per cycle when the system is undergoing a harmonic vibration $X \operatorname{Cos} \omega_{d} t$ is given by

(A) $\pi c \omega_{d} X^{2}$

(B) $\pi \omega_{d} X^{2}$

(C) $\pi c \omega_{d} X$

(D) $\pi c \omega_{d}^{2} X$

A spring-mass system is viscously damped with a viscous damping constant c. The energy dissipated per cycle when the system is undergoing a harmonic vibration $X \operatorname{Cos} \omega_{d} t$ is given by

(A) $\pi c \omega_{d} X^{2}$

(B) $\pi \omega_{d} X^{2}$

(C) $\pi c \omega_{d} X$

(D) $\pi c \omega_{d}^{2} X$

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