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A mass of 1 kg stretches a spring 9.8 m. The mass is acted on by...

A mass of 1 kg stretches a spring 9.8 m. The mass is acted on by an external force of 4 cos(t) N. If the mass is set in motion from its equilibrium position with a downward velocity of 2 m/s, find the position of the mass at any time. Identify the transient (i.e., complementary) and steady state (i.e., particular) solutions. Does the motion exhibit resonance or a beat?

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