Physics
posted by khloe on .
A sign weighing 10N hangs from two ropes. Each rope is 45 degrees from the horizontal.
1. What is the tension in each rope?

Let T be the rope tension force in each. They are the same in each rope, due to symmetry.
2 T cos45 = 10 N (vertical equilibrium)
T = 10N * sqrt2 = 14.14 N 
T1*sin(18045) + T2*sin45 = 10*sin270.
0.707T1 + 0.707T2 = 10.
T1 = T2.
0.707T1 + 0.707T1 = 10.
1.414T1 = 10.
T1 = 7.07 N. = T2.