• Support PF! Buy your school textbooks, materials and every day products Here!

T, simple harmonic motion, gravity

  • Thread starter kjavia795
  • Start date
  • #1
1
0
There are two masses both M +a and -a apart with respect to the origin on the y axis. A third mass, m, is x away from the origin. Due to gravity it will oscillate back and forth. What is T
Also, how can I use conservation of energy to find the velocity of the third mass m when it reaches the origin if it started at rest?

so far i got

g=2Gmx/(x^2+a^2)^(3/2)


and for the conservation of energy the PEi has to equal KEf
 

Answers and Replies

  • #2
rl.bhat
Homework Helper
4,433
5
Hi kjavia, welcome to PF.
Potential energy at any point along the x-axis is given by
PE = GMm/(x^2 + a^2)^1/2.
Equate this to KE at the origin and find v.
 

Related Threads for: T, simple harmonic motion, gravity

  • Last Post
Replies
2
Views
5K
  • Last Post
Replies
2
Views
10K
  • Last Post
Replies
1
Views
877
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
21
Views
1K
  • Last Post
Replies
3
Views
554
Top