A load is being lifted by means of two cables attached to it. The first cable exerts a force of 600 N at an angle of 35° to the left of the vertical. The second cable exerts a force of 1300 N. If the load is accelerating vertically, at what angle to the right of the vertical is the second cable pulling?
A) 15.4°
B) 16.2°
C) 30.8°
D) 67.8°
E) 75.8°

Question

Quizplus · Accepted Answer

To find the angle at which the second cable is pulling, we need to ensure the horizontal components of the forces cancel each other out since the load is accelerating vertically. The horizontal component of the first cable's force is 600 N * sin(35°). The second cable's horizontal component must be equal and opposite, so 1300 N * sin(θ) = 600 N * sin(35°). Solving for θ gives approximately 15.4°.

A Load Is Being Lifted by Means of Two Cables