Answer to Question #67615 in Mechanics | Relativity for ciara

Question

The long arm of a crane tower is 19 m long, while its short arm is 8 m. The weight of former is 100 kg while the latter is 40 kg. Its designed maximum hanging load is 50 kg. The fixed counterweight (G3) at the end of the short arm is of 100 kg. What should the weight be for the movable counterweight (G2), which can move from the supporting column to the end of the short arm? Assume that G2 is very short, and the masses of long and short arms are uniform, respectively.

Answer 1

m = (50 kg * 9.8 m/s2 * 19 m - 100 kg * 9.8 m/s2 * 8 m + 140 kg * 9.8 m/s2 * 5.5 m)/(9.8 m/s2 * 27 m) = 34 kg