A 2.30 -kg object attached to a spring moves without friction ( b = 0) and is dr

Question

A 2.30-kg object attached to a spring moves without friction (b = 0) and is driven by an external force given by the expression F = 3.40sin(2?t), where F is in newtons and t is in seconds. The force constant of the spring is 18.0 N/m.

A 2.30-kg object attached to a spring moves without friction (b = 0) and is driven by an external force given by the expression F = 3.40sin(2?t), where F is in newtons and t is in seconds. The force constant of the spring is 18.0 N/m. Find the resonance angular frequency of the system.

Explanation / Answer

a) Resonance Frequency=(1 / {2*pi) * sqrt(k/m) = (1 / (2*pi)) * sqrt(18/2.3)= .4452 s^-1


(b) angular freq. of driven system = (1 / {2*pi}) * (2*pi) = 1 s^-1


(c) Amplitude = 3.4/18 = .1889 m

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