Question

Consider the 639 N weight held by two cables
shown below. The left-hand cable had tension T2 and makes an angle of 53◦
with the ceiling. The right-hand cable had tension T1 and makes an angle of 49◦
with the ceiling.

Answer 1

a) What is the tension in the cable labeled T1 slanted at an angle of 49◦?
Answer in units of N.

b) What is the tension in the cable labeled T2 slanted at an angle of 53◦?
Answer in units of N

Answer 2

By treating the forces in the horizontal direction separate from those in the vertical direction, we can come up with a system of equations.
Horizontal:\[T_1\cos(49^{\circ})-T_2\cos(53^{\circ})=0\]Vertical:\[T_1\sin(49^{\circ})+T_2\sin(53^{\circ})-639=0\]Two equations, two unknowns, very solvable.