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

Tarzan swinging across a river

  • Thread starter rpullo
  • Start date
  • #1
15
0

Homework Statement



Tarzan wishes to swing across a crocodile infested river to consort with Jane, using a vine rope to swing on. In order to reach Jane's side he must swing so that the rope makes a maximum angle of 40 degrees to the vertical. Regarding Tarzan as an 85 kg point mass, what is the minimum breaking tension of the rope if the crocodiles are to be disappointed and Jane delighted?

(assume the rope is light and Jane loves Tarzan)

Homework Equations



Fg = mg (833 N)
Fc = T - Fg

The Attempt at a Solution



Don't know where to start..it's a bonus question for our test
Thanks!
 

Answers and Replies

  • #2
15
0
An attempt at the question:

Fg is a constant 833 N on Tarzan.

Because Fc = T - Fg

T = Fc + Fg
= mv^2/r + 833
= 85v^2/r + 833

Sort of stuck there...
 
Last edited:
  • #3
1,955
252
Use conservation of energy to find v at the bottom of the swing. How high is tarzan above this point at the start of the swing?
 
  • #4
15
0
That dosen't help me :(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(:(
 

Related Threads on Tarzan swinging across a river

Replies
2
Views
4K
  • Last Post
Replies
7
Views
14K
  • Last Post
Replies
3
Views
576
  • Last Post
Replies
22
Views
4K
  • Last Post
Replies
2
Views
3K
Replies
1
Views
3K
  • Last Post
Replies
3
Views
6K
  • Last Post
Replies
3
Views
833
  • Last Post
Replies
7
Views
12K
Replies
20
Views
877
Top