What is the tension in a swinging vine with a given mass and velocity?

[stressedout09]

Homework Statement

Jill of the Jungle swings on a vine 6.6 m long. What is the tension in the vine if Jill, whose mass is 61 kg, is moving at 2.6 m/s when the vine is vertical?

Homework Equations

F=mv^2/r

The Attempt at a Solution

F=(61)(2.6^2)/6.6

 

[rl.bhat]

When Jill is just hanging on a vine, what is the tension in the vine?
When Jill is moving with a velocity, what additional tension is added to the vine?

 

[stressedout09]

When Jill is just hanging on a vine, what is the tension in the vine?
When Jill is moving with a velocity, what additional tension is added to the vine?

I'm sorry I still do not understand how to go about setting up the equation...I tried going over examples in my book for this type of circular motion but there does not seem to be any so I am beyond confused...I know that once I figure it out I will feel completely stupid but for now, I am just stumped. -_-

 

[rl.bhat]

Total tension = tension due to centripetal force + tension due to weight.

 

[stressedout09]

thank you SOOOO much...i'm such an idiot! -_-