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Determine tension in cable? 10 pts!?
A swing ride at a carnival consists of chairs that are swung in a circle by 17 m cables attached to its vertical rotating pole.
Suppose the total mass of a chair and its occupant is 90 kg
Determine the tension in the cable attached to the chair when its velocity is 38 m/s
(Hint- use the quadratic equation to find the angle theta)
2 Answers
- helloLv 68 years agoFavorite Answer
Be more specific. Hard to picture?? T costheta = m v^2 /r with r = 17 costheta.
T sintheta supports weight = mg I think this is what is called a conical pendulum??
So 17 T cos^2 = m v^2 and T sin = mg
divide both equations to eliminate T (Now I see the quadratic which was puzzling me)
(17 g cos^2 ) = v^2 sintheta. Put cos^2 = 1- sin^2
17 g sin^2 + v^2 sin - 17g = 0 and solve for sin of angle theta ( you can find theta but you don't need it, you only need the sine because : ) T = mg/sintheta
- Anonymous4 years ago
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