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A certain mechanism includes a set of two springs suspended parallel to each oth

ID: 2228245 • Letter: A

Question

A certain mechanism includes a set of two springs suspended parallel to each other that act as a simple harmonic oscillator. Each spring has a spring constant of k N/m. A mass m could be attached either to one spring only or to both of them together. When two springs are combined the spring constant doubles.What is the ratioT1/ T2 , where T1 is the period when the mass is attached to a single spring and T2 is the period when the mass is attached to a doubled spring? What is the ration of frequencies, f1/ f2?

Explanation / Answer

T1/T2=T1/2T2 f1/f2=2f1/f2

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