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ENGINEERING APPLICATION During a stage production of Peter
Chapter , Problem 76(choose chapter or problem)
ENGINEERING APPLICATION During a stage production of Peter Pan, the 50-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 3.2 m in 2.2 s at a constant acceleration. Backstage, a smooth surface sloped at 50 supports a counterweight of mass m, as shown in Figure 4-55. Show the calculations that the stage manager must perform to find (a) the mass of the counterweight that must be used and (b) the tension in the wire.
Questions & Answers
QUESTION:
ENGINEERING APPLICATION During a stage production of Peter Pan, the 50-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 3.2 m in 2.2 s at a constant acceleration. Backstage, a smooth surface sloped at 50 supports a counterweight of mass m, as shown in Figure 4-55. Show the calculations that the stage manager must perform to find (a) the mass of the counterweight that must be used and (b) the tension in the wire.
ANSWER:Step 1 of 7
(a) The weight of the counterweight on its vertical component
The weight of the counterweight on its horizontal component.
The sum of all forces exerted on the counterweight ( box ) is,
That is,
