Pendulum Question

  • Thread starter Glenda
  • Start date
  • #1
3
0

Homework Statement


How would one show that the average total energy of a simple pendulum is equal to twice the average kinetic energy of the pendulum?

Homework Equations


E = T + V = 1/2 ml**2 (θ'**2) + mgl cos(θ)



The Attempt at a Solution


Maybe use equipartition?
 

Answers and Replies

  • #2
35,437
11,857
Maybe use equipartition?
Then you have to show that your pendulum satisfies the assumptions going into that theorem. In particular, your pendulum is not in thermal equilibrium with anything, and a different potential shape will lead to a different result so it does not apply to all pendulum-like systems.

You can explicitly calculate the average kinetic energy by integrating over one period.
 

Related Threads on Pendulum Question

  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
920
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
14
Views
1K
Top