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For a vibrating system, m = 10 kg, k = 2500 N/m, and c = 45...

For a vibrating system, m = 10 kg, k = 2500 N/m, and c = 45 N*s/m. A harmonic force of amplitude 180 N and frequency 3.5 Hz acts on the mass. If the initial displacement and velocity of the mass are 15 mm and 5 m/s, respectively, find the complete solution representing the motion of the mass.

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