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Social ScienceThe "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. (Figure 1)
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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Figure 1 of 1 3.00m 130.0° 5.00m
Expert Answer
Consider the angular speed of the swing be ω, the length of the arm be R, the length of the cable be L, the radius of the circular path of the swing be r, the tension in the cable be T, the mass of the passenger at swing be m, the acceleration of the swing be a, and time period be t.
The radius of the circular path of the swing can be calculated as,
The free-body diagram of the passenger on the swing is,
From the free-body diagram, the horizontal component of the tension...
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