Question

Problem 17. A) In steady state, does a damped, driven oscillator oscillate at the frequency of the driving force, the natural frequency of the oscillator or neither of these frequencies? B) Ella Fitzgerald could break a wine glass with her voice but Louis Armstrong could not. Is this likely because Ella could sing louder than Louis? Justify your answer. C) What happens to the width of the average-power-delivered vs driving frequency curve if the damping is increased? D) What happens to the height of the average-power-delivered vs driving frequency curve if the damping is increased? E) Describe the resonance effect using one sentence.

Answer 1

A)

In steady state there is no loss or gain of energy. hence it oscillate at natural frequency of the oscillator.

B)

breaking of glass by voice takes place when the frequency of voice match the frequency of vibration of the particles constituting the glass. hence it does not imply that ella could sing louder.

C)

with an increase in damping , there will be increase in loss of energy. to regain the original state of the system, more power would be required.hence the width will increase.

D)

with an increase in damping , there will be increase in loss of energy. the maximum power will decrease in same manner. hence the height will decrease.

E)

resonance takes place when frequencies from various source match