Tarzan, angel that rope breaks.

[juggalomike]

Homework Statement

Tarzan, who weighs 678 N, swings from a cliff at the end of a convenient vine that is 19.0 m long (see the figure). From the top of the cliff to the bottom of the swing, he descends by 3.2 m. If the vine doesn't break, what is the maximum of the tension in the vine?
answer=906 N

The vine will break if the force on it exceeds 816.3 N. Does the vine break? If yes, at what angle does it break (if no enter 180. deg)?

Homework Equations

not really sure, maybe T=mg+2mg(1-cos(theta))

The Attempt at a Solution

I am completely stumped on part 2, i tried looking up the question online and found someone saying to use T=mg+2mg(1-cos(theta)) but after plugging the information into that i see that it does not work(or i am doing something wrong).

 

[Hellabyte]

How can he only descend 3.2m to the bottom of the swing if the rope is 19m?

 

[ideasrule]

Homework Statement

Tarzan, who weighs 678 N, swings from a cliff at the end of a convenient vine that is 19.0 m long (see the figure). From the top of the cliff to the bottom of the swing, he descends by 3.2 m. If the vine doesn't break, what is the maximum of the tension in the vine?
answer=906 N

The vine will break if the force on it exceeds 816.3 N. Does the vine break? If yes, at what angle does it break (if no enter 180. deg)?

Homework Equations

not really sure, maybe T=mg+2mg(1-cos(theta))

The Attempt at a Solution

I am completely stumped on part 2, i tried looking up the question online and found someone saying to use T=mg+2mg(1-cos(theta)) but after plugging the information into that i see that it does not work(or i am doing something wrong).

I take it that you've figured out part 1? For part 2, draw a free-body diagram on the monkey and write out Newton's second law.

 

[juggalomike]

would i draw 2 FBDs? one when he starts the swing and 1 at the bottom of the swing?