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A 500 N uniform rectangular sign of 4.00 m wide and 3.00 m high is hanged from a horizontal, 6.00 m long, uniform, 100N rod. The left end of the rod is supported by a hinge, and the right end is supported by a thin cable forming a 30.0° angle with the vertical. (i) Determine the tension T in the cable. (ii) Determine the horizontal and vertical components of force applied on the left end of the rod by the hinge.

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