A pulley assembly is used to move heavy objects around a factory floor. As the assembly moves, the total force on the main pulley changes. At a certain angle, the main pulley fails from the tension in the cable.

What is known:

• The forces on the pulley at failure are as follows:
  (1) F₁ = 500 lb downward
  (2) F₂ = 500 lb, 30° from downward

What is the total force on the pulley and in what direction does it act?

• Solve for the rectangular components of the two forces on the pulley.
• Combine the two forces using vector addition to find the total force exerted on the pulley.
• Solve for the magnitude and direction of the total force.