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A 2-kg object oscillates on a spring of force constant k = 400 N/m. The damping constant has a value of b = 2.00 kg/s. The system is driven by a sinusoidal force of maximum value 10 N and angular frequency w = 10 rad/s.

(a) What is the amplitude of the oscillations?

(b) If the driving frequency is varied, at what frequency will resonance occur?

(c) What is the amplitude of oscillation at resonance?

(d) What is the width of the resonance curve ∆w?

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