A particle with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force . If the amplitude of a particle is maximum for frequency while the energy is maximum for the frequency then (where$$ $$=$$ natural frequency of oscillation of $$particle)

Question

A particle with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force . If the amplitude of a particle is maximum for frequency  while the energy is maximum for the frequency  then (where$$  $$=$$ natural frequency of oscillation of $$particle)

Infinity Learn · Accepted Answer

In forced vibration, amplitude of oscillation is given $$byA=F0m$$ω$$02-$$ω$$e2+$$ω$$e2bm2Amplitude$$ when ω$$02-$$ω$$e2$$ $$=0$$     ω$$0=$$ωeHere ω$$0=$$ Natural frequency of oscillationω$$e=$$ Frequency of external periodic force.Again, energy of oscillation ∞$$A2$$

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A particle with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force . If the amplitude of a particle is maximum for frequency while the energy is maximum for the frequency then (where = natural frequency of oscillation of particle)

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