A ball of mass m suspended by a weightless spring can perform vertical oscillations with damping coefficient

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A ball of mass m suspended by a weightless spring can perform vertical oscillations with damping coefficient β. The natural oscillation frequency is equal to w0. Due to the external vertical force varying as F = F0 cos wt the ball performs steady-state harmonic oscillations. Find:
(a) The mean power (P), developed by the force F, averaged over one oscillation period;
(b) The frequency co of the force F at which (P) is maximum; what is (P) max equal to?
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