The three ropes shown 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?
Let Rope 1 be aligned along the x-axis and Rope 2 along the y-axis. The tension (T) in the third rope acts at an angle (θ) with the x-axis. The tension (T1) in Rope 1 is the x-component of T.
Evaluate T1 from its formula as follows:
The tension (T2) in Rope 2 is the y-component of T.
Evaluate T2 from its formula as follows: