Exercise 5.51 Part A lnone ofthe versions ofthe \"Giant Swing, the seat is conne

Question

Exercise 5.51 Part A lnone ofthe versions ofthe "Giant Swing, the seat is connected to two cables, one of which is horirontal E sguire 1). The seat swings in a horicontal dircke at a rate of Ilthe seat weighs 29% N and a 895 N person is sining in R Aind the tension in the hoelrovtal cabde Express your answer with the appropriate units. 31.0 rev/min T Value Units ? My Answers Give Incorrect, Try Again; 4 attempts remaining Part B F ind the lension in the inclined cable Express your answer with the appropriate units 40.0° 7.50m . | l'alue ll Units Submit My Answers Give Up

Explanation / Answer

here,

weight of both chair and person, w = 295 N + 895 N = 1190 N

mass , m = w/g = 121.3 kg

angular speed , w = 31 rev/min = 3.24 rad/s

let the tension in the horizontal cable be Th

a)

equating the forces

Th = m * w^2 * r

Th = 121.3 * 3.24^2 * 7.5 N

Th = 9550.2 N

b)

let the tension in the inclined cable be Ti

equating the forces vertically

Ti * cos(theta) = w

Ti * cos(40) = 1190

Ti = 1553.4 N

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