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At what minimum speed must a roller coaster be traveling so that passengers upside down at the top of the circle do not fall out? Assume a radius of curvature of 8.6 m?
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On the ripcord, you free fall for 30 m before the tension in the 40 m cord causes centripetal acceleration.
a) What's your velocity after the free fall?
b) What is the force of tension on the rope at the bottom of the swing? (Assume you have a mass of 45 kg)
Riders in an amusement park ride shaped like a Viking ship hung from a large pivot are rotated back and forth like a rigid pendulum of radius 14m. Sometime near the middle of the ride, the ship is momentarily motionless at the top of its circular arc. The ship then swings down under the influence of gravity.
(a) What is the magnitude of the centripetal acceleration at the bottom of the arc?
(b) Draw a free-body diagram of the forces acting on a rider at the bottom of the arc.
(c) Find the magnitude of the force exerted by the ride on a 60.0 kg rider and compare it to her weight.
(d) Discuss whether the answer seems reasonable.