A The leg and cast in Figure P4.18 weigh 200 N, with the center of mass as indicated by the blue arrow in the diagram. The counterbalance w, weighs 105 N. Determine the weight w, and the angle a needed so that no force is exerted on the hip joint by the leg plus cast. w1 40 Figure P4.18

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The leg and cast in Figure P4.18 weigh 200 N, with the center of mass as indicated by the blue arrow in the diagram. The counterbalance \( w_1 \) weighs 105 N. Determine the weight \( w_2 \) and the angle \( \alpha \) needed so that no force is exerted on the hip joint by the leg plus cast.

Below the text, there is an image of a person lying on a table with one leg in a cast. The leg is held up by two weights, \( w_1 \) and \( w_2 \), connected by ropes and pulleys. The weight \( w_1 \) is 105 N.

The diagram shows:
- A blue arrow indicating the center of mass of the leg and cast.
- A rope pulling horizontally at 40° to hold \( w_1 \).
- An arrow labeled \( \alpha \) showing another angle for \( w_2 \).

The diagram demonstrates the mechanics of balancing the forces acting on the leg and cast.

*Figure P4.18*
Transcribed Image Text:The leg and cast in Figure P4.18 weigh 200 N, with the center of mass as indicated by the blue arrow in the diagram. The counterbalance \( w_1 \) weighs 105 N. Determine the weight \( w_2 \) and the angle \( \alpha \) needed so that no force is exerted on the hip joint by the leg plus cast. Below the text, there is an image of a person lying on a table with one leg in a cast. The leg is held up by two weights, \( w_1 \) and \( w_2 \), connected by ropes and pulleys. The weight \( w_1 \) is 105 N. The diagram shows: - A blue arrow indicating the center of mass of the leg and cast. - A rope pulling horizontally at 40° to hold \( w_1 \). - An arrow labeled \( \alpha \) showing another angle for \( w_2 \). The diagram demonstrates the mechanics of balancing the forces acting on the leg and cast. *Figure P4.18*
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