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angle of the rope with vertical

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1. a 50-lb box is suspended by a rope from the ceiling. If a horizontal force of 20 lb is applied to the box, what angle will the rope make with the vertical?

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The solution shows how to calculate the angle of the rope with vertical which hangs the box from the ceiling.

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As shown in above FBD, in the equilibrium, the net force on the box is 0
In the ...

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