# Homework Help: Tension of Two Ropes on an Object

1. Nov 5, 2009

### merzperson

1. A 1400kg steel beam is supported by two ropes. Find the tension of each rope.
Rope 1 is 20 degrees from the vertical axis and Rope 2 is 30 degrees from the vertical axis.

2. I am getting lost trying to find the vector components of each rope. More specifically, I am having trouble solving the system of equations as I can't remember the last time I've done this.

Here's my set-up:
T1cos(20) + T2cos(30) = 13720
T1sin(20) + T2sin(30) = 0

When I solve the system of equations I get T1=39505 and T2=-27023. These do not seem to be the correct answers according to MasteringPhysics, and if I'm not mistaken they don't make sense either.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Nov 5, 2009

### ehild

The horizontal components of the tensions are opposite.

T1sin(20) - T2sin(30) = 0

ehild

3. Nov 6, 2009

### merzperson

Thank you ehild, that did it.