In another version of the \"Giant Swing\", the seat is connected to two cables a

Question

In another version of the "Giant Swing", the seat is connected to two cables as shown in the figure (Figure 1) , one of which is horizontal. The seat swings in a horizontal circle at a rate of 30.9rev/min

Part A

If the seat weighs 220N and a 829-N person is sitting in it, find the tension in the horizontal cable.

Part B

Exercise 5.47 Part A In another version of the "Giant Swing", the seat is connected to two cables as shown in the figure (Figure 1) , one of which is horizontal. The seat swings in a horizontal cicle at a rate of 30.9rev/min If the seat weighs 220N and a 829-N person is sitting in it, find the tension in the horizontal cable Figure 1 of 1 Submit My Answers Give Up Part B If the seat weighs 220N and a 829-N person is sitting in it, find the tension in the inclined cable 40.0° 7.50 m Submit My Answers Give Up vide Continue

Explanation / Answer

W = T2 cos 40   since only T2 has a vertical component
T2 = (220 + 829) / cos 40 = 1370 N
T2 sin 40 + T1 = m v^2 / R = m w^2 R    where w is angular velocity
T1 = 1370 sin 40 + (1049 / 9.8) * w^2 * 7.5
T1 = 881 + 803 * w^2
w = 2 / 60 * 2 * pi = .209 rad / sec
T1 = 881 + 168 = 1049 N

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