Two identical point masses P and Q, suspended from two separate massless springs of spring constants k1 and k2 respectively, oscillate vertically. If their maximum speeds are the same, the ratio AQ/AP

Question

Two identical point masses P and Q, suspended from two separate massless springs of spring constants k1 and k2 respectively, oscillate vertically. If their maximum speeds are the same, the ratio AQ/AP of the amplitude AQ of mass Q to the amplitude AP of mass P is:

Vishal Gupta · Accepted Answer

D. Maximum speed = A\omega, equal for both: AQ\omegaQ = AP\omegaP. With \omega \propto \sqrt{k} for equal masses, \frac{AQ}{AP} = \frac{\omegaP}{\omegaQ} = \sqrt{\frac{k1}{k2}}.

Oscillations

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