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) F_{1} = 500 lb downward
(2) F_{2} = 500 lb, 30° from downward

Question

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

Approach

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.

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