Simple Harmonic Motion Problem

  • #1
192
0
1. What is the difference between ψ = Amod(t) cos (wavt)and the simple harmonic oscillator?

3. A. The amplitude is time dependent
B. The amplitude,Amod , is twice the amplitude of the simple harmonic oscillator, A.
C. The oscillatory behavior is a function of ? instead of the period, T.

I'm not sure what the difference is. I thought that the equations are similar but that was incorrect.
 

Answers and Replies

  • #2
BvU
Science Advisor
Homework Helper
14,448
3,737
What is ψ for a simple harmonic oscillator ?
 
  • #3
192
0
Simple harmonic oscillator:
ψ = 2A[cos(wavt) cos(1/2 wbeatt)]

Amod (t) = 2Acos(1/2 wbeatt)

In the book, it says the maximum amplitude Amod of the wave changes with time. Would that mean it is A?
 
  • #4
BvU
Science Advisor
Homework Helper
14,448
3,737
My simple harmonic oscillator ##\ddot x + \omega^2 x = 0 ## doesn't have a beat frequency. Only ##A\cos(\omega t + \phi)## with ##A## and ##\phi## constant.
 

Related Threads on Simple Harmonic Motion Problem

  • Last Post
Replies
8
Views
158
Replies
5
Views
711
  • Last Post
Replies
4
Views
898
  • Last Post
Replies
2
Views
2K
S
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
15
Views
2K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
22
Views
1K
Top