Forces F₁ and F₂ acting on a body are at 0 and 90 from the horizontal, respectively. The magnitude |F₁| is 1 N and the magnitude of |F₂| is 1.73 N. If the central body is at equilibrium, what must the angle of F₃ be, as measured from the horizontal (negative x) axis?

a. 30

b. 45

c. 56.6

d.60

e. 90

The cable on the left makes a 47 angle with the horizontal, and the cable on the right makes a 33 angle with the horizontal. If the central node is in equilibrium, what is the ratio of T_B to T_A? Tc = 100 N That is, fill in the blank: T_B =____x T_A.

a. 0.81

b. 0.93

c. 0.98

d. 1.06

e. 1.23

In the previous problem, if the vertical tension force is 100N down, what is the tension T_B in Newtons?

a. 58.1 N

b. 69.3 N

c. 75.1 N

d. 85.2 N

e. 99.8 N