Solving Tension in Rope for 26kg Pack Hanging Between Trees

[fubag]

A camper hangs a 26kg pack between two trees, using separate pieces of rope of different lengths. What is the tension in each rope?

I understand:

x = T1cosx - T2cox = 0

y = T1sinx + T2sinx + mg = 0.

How can I got about solving for T1, and T2?


Thanks!

 

[asd1249jf]

There isn't sufficient information to solve this... from the given description. You have 3 unknowns and 2 equations. Do you have additional information to find the angle?

 

[fubag]

im sorry

I forgot to mention the anglesOne of the angles is 71 degrees, and the other is 28 degrees.

According to my equation, T2 uses the 71 degrees angle, while T1 uses the 28 degrees angle.

This what I have so far:

T1(sin28 + cos 28) + T2(sin71 - cos71) - mg = 0.What do I do next?

 

[Doc Al]

Don't just add the two equations you have from post #1. Use the first one to solve for T1 in terms of T2, then plug that into the second equation.