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A spring with k = 245 N/m has a mass of m = 4.35 kg attached...

A spring with k = 245 N/m has a mass of m = 4.35 kg attached to it. An external force F whose maximum value is 825 N drives the spring mass system so that it oscillates without any resistive forces. If the amplitude of the oscillatory motion of the spring-mass system is 3.65 cm, find the frequency of the external force that drives this motion.


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Answer #1

P = sqrt[(k/m) - (F/ma)]

P = sqrt[- (245/4.35) + (825/4.35 x 0.0365)]

P = 71.69 rad/sec

Frequency, f = 71.69/2 pi = 11.41 Hz

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