Problem: The amplitude of a lightly damped oscillator decreases by 3.0 % during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle? 

FREE Expert Solution

When there is no damping, the mechanical energy of the oscillator is expressed as:

E=12kA2

For the damped oscillator, the amplitude is decreased by 3.0% per cycle. 

The mechanical energy is now expressed as:

Ed=12k(A-0.03A)2=12k(0.97A)2=12A2(0.9409)

View Complete Written Solution
Problem Details

The amplitude of a lightly damped oscillator decreases by 3.0 % during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?