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In a physics laboratory class, three massless ropes are tied together at a point. A pulling...

In a physics laboratory class, three massless ropes are tied together at a point. A pulling force is applied along each rope: F1 = 150 N at 60°, F2 = 200 N at 100°, F3 = 100 N at 190°. What is the magnitude of a fourth force and the angle at which it acts to keep the point at the center of the system stationary? (All angles are measured counterclockwise from the positive x-axis.)

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