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The “Giant Swing” at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end Each arm supports a seat suspended from a cable 5.00 m long, the upper end of the cable being fastened to the arm at a point 3.00 m from the central shaft. (a) Find the time of one revolution of the swing if the cable supporting a seat makes an angle of 30.0° with the vertical.

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