Energy in Simple Harmonic Motion Video Lessons

Video Thumbnail

Concept

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)

88% (146 ratings)
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? 

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Energy in Simple Harmonic Motion concept. You can view video lessons to learn Energy in Simple Harmonic Motion. Or if you need more Energy in Simple Harmonic Motion practice, you can also practice Energy in Simple Harmonic Motion practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Jerousek's class at UCF.