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During a stage production of Peter Pan, the 53.5 kg actress playing Peter has to fly in vertically (descend). To be in time with the music, she must, starting from rest, be lowered a distance of 3.60 m in 2.12 s at a constant acceleration. Backstage, a smooth surface sloped at ? = 47.0° supports a counterweight of mass m, as shown in the figure below.
1) Calculate the mass of the counterweight that must be used.
2) Calculate the tension in the wire supporting the actor.
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A rotating cylinder about 16- {rm km} long and 6.8 -km in diameter is designed to be used as a space colony. With what angular speed must it rotate so that the residents on it would experience the similar acceleration because of gravity as on Eart..
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