Average energy mass on a spring

  • Thread starter thatguy14
  • Start date
  • #1
45
0

Homework Statement



Hi, I hope this isn't a silly question. I am looking to find the mean potential energy of a mass on a spring with spring constant k and maximum displacement x0.

Homework Equations





The Attempt at a Solution


I know the maximum energy is 1/2*kx0^2 so would the mean potential energy be half that?
 

Answers and Replies

  • #2
39
2
Yes, the mean PE will be half of the maximum , but not just like that.
PE at any instant is 1/2 kx2 = 1/2kx02cos2(ωt+ø) ,
avg. of cos2(ωt+ø) over a time period is 1/2.
 
  • #3
45
0
ah okay thanks!
 

Related Threads on Average energy mass on a spring

Replies
12
Views
225
Replies
3
Views
648
  • Last Post
Replies
12
Views
1K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
11
Views
2K
  • Last Post
Replies
6
Views
778
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
14
Views
717
  • Last Post
Replies
1
Views
3K
Top