Question #117732

A 12.2 m crane weighs 18.0 kN and is lifting a 56.9 kN load. The hoisting cable (tension T1) passes

over a pulley at the top of the crane and attaches to an electric winch in the cab. The pendant cable

(tension T2) which supports the crane, is fixed to the top of the crane. Find the tensions in the two cables.

T1 = Blank 1. Calculate the answer by read surrounding text.

kN

T2 = Blank 2. Calculate the answer by read surrounding text.

kN

1

over a pulley at the top of the crane and attaches to an electric winch in the cab. The pendant cable

(tension T2) which supports the crane, is fixed to the top of the crane. Find the tensions in the two cables.

T1 = Blank 1. Calculate the answer by read surrounding text.

kN

T2 = Blank 2. Calculate the answer by read surrounding text.

kN

1

Expert's answer

"T_2\\cos{35}(L\\cos{40} )+ T_1\\cos{45}(L\\cos{40}) - T_2\\sin{35}(L\\sin{40} )-\\\\- T_1\\sin{45}(L\\sin{40}) - W_2(0.5L\\sin{40}) - T_1(L\\sin{40})=0"

"T_2\\cos{35}\\cos{40} + T_1\\cos{45}\\cos{40} - T_2\\sin{35}\\sin{40} \\\\- T_1\\sin{45}\\sin{40} - 0.5W_2\\sin{40} - T_1\\sin{40}=0"

"T_2\\cos{35}\\cos{40} + 56.9\\cos{45}\\cos{40} - T_2\\sin{35}\\sin{40} \\\\-56.9\\sin{45}\\sin{40} - 9\\sin{40} - 56.9\\sin{40}=0"

"T_2=144.5\\ kN"

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## Comments

Assignment Expert26.05.20, 19:42Dear visitor, please use panel for submitting new questions

Wilcox Muchineripi25.05.20, 18:35What is the angular momentum of a figure skater spinning at 3.0 rev/s with arms in close to her body, assuming her to be a uniform cylinder with a height of 1.5 m, a radius of 15 cm, and a mass of 48 kg ? How much torque is required to slow her to a stop in 4.0 s, assuming she does not move her arms?

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