Answer to Question #255070 in Physics for Roger1

Question

The three ropes in figure are tied to a small, very light ring. Two of the ropes are anchored

to walls at right angles, and the third rope pulls as shown. What are T1 and T2, the magnitudes of

the tension forces in the first two ropes?

Answer 1

The tension in the horizontal rope (below axis of which which the 'central' rope pulls) is

$$T_1=F\cos\theta,$$

the tension in the vertical rope is

$$T_2=F\sin\theta.$$