A crane ABCDEF GHJK is lifting a 2000-kg load via a system of pulleys. The radius of the pulley at D, 0.5 m, is larger than the radius of the pulley at C, 0.3 m.
(a) Draw a free-body diagram of pulley K to show that the tensions in the hoist wire on both sides of the pulley are equal to (1000 kg)g
(without assuming so), where g is the acceleration due to gravity.

(b) Draw a free-body diagram and write, but do not solve, the three equations that determine the force on members CB, CG and F G. Except for these three unknown forces, the equations should be in terms of known quantities.

  

Transcribed Image Text:

0.5 m D Hoist wire- K 0.25 m 2000 kg 3m 0.3 m E C 3m 3m 3m 30° 15° 60° A F 3m G 3m 3m H Figure 3: A crane ABCDEFGHJK is lifting a 2000-kg load via a system of pulleys. The radius of the pulley at D, 0.5 m, is larger than the radius of the pulley at C, 0.3 m. 0.5 m D Hoist wire- K 0.25 m 2000 kg 3m 0.3 m E C 3m 3m 3m 30° 15° 60° A F 3m G 3m 3m H Figure 3: A crane ABCDEFGHJK is lifting a 2000-kg load via a system of pulleys. The radius of the pulley at D, 0.5 m, is larger than the radius of the pulley at C, 0.3 m.

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