Calculate the mass m needed in order to suspend the leg shown in Fig. 9–43. Assume the

Chapter 9, Problem 3P

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QUESTION:

Problem 3P

Calculate the mass m needed in order to suspend the leg shown in Fig. 9–43. Assume the leg (with cast) has a mass of 15.0 kg, and its CG is 35.0 cm from the hip joint; the sling is 80.5 cm from the hip joint.

Figure 9–43

Questions & Answers

QUESTION:

Problem 3P

Calculate the mass m needed in order to suspend the leg shown in Fig. 9–43. Assume the leg (with cast) has a mass of 15.0 kg, and its CG is 35.0 cm from the hip joint; the sling is 80.5 cm from the hip joint.

Figure 9–43

ANSWER:

Solution 3P:

Step 1 of 2:-

Here we have to calculate the mass needed to suspend the leg as shown in the figure of the problem.

From the hip joint, the distance of the center of gravity is: .

The distance of the sling from the hip joint is: .

The tension in the rope with the unknown mass  is in the upward direction and the force is,

.

The other force by the leg, which is downwards by the weight is,

, where is the mass of the leg.

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