In a stage production of Peter Pan, the 50-kg actor playing Peter has to fly in vertically,

Question:

In a stage production of Peter Pan, the 50-kg actor playing Peter has to fly in vertically, and to be in time with the music, he must be lowered a distance of 3.2 min2.2s. Backstage, a smooth surface sloped at 50° supports a counterweight of mass m, as shown in Figure 4-45. 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.