Free Body Diagram help

Homework Statement

Two ropes are connected to a steel cable that supports a hanging weight as shown in the figure.

http://session.masteringphysics.com/problemAsset/1000050931/2/YF-05-59.jpg

Draw a free-body diagram showing all of the forces acting at the knot that connects the two ropes to the steel cable.

Based on your force diagram, which of the two ropes will have the greater tension?

n/a

The Attempt at a Solution So Vector length: C<A<B

or should the length of C equal the length of A+B?

So vector A will have the greater tension than vector B because it is shorter?

Does this look and sound correct?

thank you :)

Last edited:

Also could i get a little help with the last part of this question:

If the maximum tension either rope can sustain without breaking is 4000 N, determine the maximum value of the hanging weight that these ropes can safely support. You can ignore the weight of the ropes and the steel cable.

so i found the weight each rope can hold.

4000sin(60)= 3464

4000sin(4)= 2571

then i added these two together to get 6035 N but this is incorrect?

does anyone know where i went wrong?

thank you

Choppy