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The leg and cast in the figure below weigh 217 N (w1). Determine the weight w2 and the angle α needed so that no force is exerted on the hip joint by the leg plus cast. w2      α       An illustration shows a side view of a patient laid on their back as their leg, wrapped in a cast, is elevated by a system of two pulleys, two objects, and two cords. The pulleys are anchored to the ceiling and positioned such that the first pulley (to the left) is above the foot of the bed while the second pulley (to the right) is above the patient's chest. An arrow labeled w1 extends vertically downward from a point near the middle of the elevated leg. One end of the first cord is attached at the tail of arrow w1 while the other end of the cord is attached to an object of 110 N. The cord forms a clockwise angle of 40° above the horizontal before passing over the first pulley and suspending the 110-N object. One end of the second cord is also attached to the tail of arrow w1 while the other end of the cord is attached to an object labeled w2. The cord forms a counterclockwise angle α above the horizontal before passing over the second pulley and suspending object w2.

The leg and cast in the figure below weigh 217 N (w1). Determine the weight w2 and the angle α needed so that no force is exerted on the hip joint by the leg plus cast. w2      α       An illustration shows a side view of a patient laid on their back as their leg, wrapped in a cast, is elevated by a system of two pulleys, two objects, and two cords. The pulleys are anchored to the ceiling and positioned such that the first pulley (to the left) is above the foot of the bed while the second pulley (to the right) is above the patient's chest. An arrow labeled w1 extends vertically downward from a point near the middle of the elevated leg. One end of the first cord is attached at the tail of arrow w1 while the other end of the cord is attached to an object of 110 N. The cord forms a clockwise angle of 40° above the horizontal before passing over the first pulley and suspending the 110-N object. One end of the second cord is also attached to the tail of arrow w1 while the other end of the cord is attached to an object labeled w2. The cord forms a counterclockwise angle α above the horizontal before passing over the second pulley and suspending object w2.

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The leg and cast in the figure below weigh 217 N (w1). Determine the weight w2 and the angle α needed so that no force is exerted on the hip joint by the leg plus cast.

w2     
α    

 

An illustration shows a side view of a patient laid on their back as their leg, wrapped in a cast, is elevated by a system of two pulleys, two objects, and two cords.

  • The pulleys are anchored to the ceiling and positioned such that the first pulley (to the left) is above the foot of the bed while the second pulley (to the right) is above the patient's chest.
  • An arrow labeled w1 extends vertically downward from a point near the middle of the elevated leg.
  • One end of the first cord is attached at the tail of arrow w1 while the other end of the cord is attached to an object of 110 N. The cord forms a clockwise angle of 40° above the horizontal before passing over the first pulley and suspending the 110-N object.
  • One end of the second cord is also attached to the tail of arrow w1 while the other end of the cord is attached to an object labeled w2. The cord forms a counterclockwise angle α above the horizontal before passing over the second pulley and suspending object w2.
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