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A 2.16kg object attached to a spring moves without friction and is driven by an external force given by the expression F(t) = F0 sin(2Ï€t), where F0 = 2.93N, the time is in seconds, and the force constant of the spring is k = 20.1kg/s2.

(a) What is the period of the driven system when at resonance?

(b) What is the amplitude of the motion for this system that is driven at ω = 2π?

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