Calculating Tension in Vines: A 5.0kg Monkey at Rest on Vines A and B

[Fire Slayer]

Okay, I got an assignment from my teacher that I'm having trouble starting.

A 5.0-kilogram monkey hangs initially at rest from two vines, A and B. Each of the vines has a length of 10 meters and negligible mass. Vine A is 30 degrees above the horizon in quadrant II, and Vine B is 60 degrees above the horizon in quadrant 1.

I know that the two tensions keep the monkey at rest, so the sum of the forces = 0. But how do I calculate the tension in the vines?

 

[Doc Al]

Since you have the angles, you can find the horizontal and vertical force components. Each must add to zero, giving you two equations and two unknowns (the two tensions).

 

[shotgunbob]

This is essentially the same type of question i asked. You have to isolate tension one from T2 and substitute. I am lost from then on lol

 

[Fire Slayer]

when you say each, do you mean the two horizontal equal zero, and the two vertical equal zero? or each by themselves?

 

[Doc Al]

I meant that you'll get two equations:
(1) The sum of the horizontal force components = 0
(2) The sum of the vertical force components = 0