NEET Class neet Answered
A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force F sinwt. If the amplitude of the particle is maximum for w=w1, and the energy of the particle maximum for w=w2, then (where w0 is natural frequency of oscillation of particle):- (1) w1 is not equal to w0 and w2=w0, (2) w1=w0 and w2=w0, (3) w1=w0 and w2 is not equal to w0, (4) w1 is not equal to w0 and w2 is not equal to w0.
Asked by patra04011965 | 12 Jul, 2019, 08:44: AM
Expert Answer
Damped oscillator angular frequency ωd is less than natural frequency ωo
where b is damping constant and m is mass of the oscillating object.
With presence of damping, maximum displacement at resonance occurs at a driving frequency less than natural frequency.
Amplitude and energy both are maximum at resosnance (when amplitude is maximum).
Hence w1 ≠ wo and w2 ≠ wo
Answered by Thiyagarajan K | 12 Jul, 2019, 12:19: PM
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