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Chapter 7: Q56P (page 170)

Assume that your proportions are the same as those in Table 7–1, and calculate the mass of one of your legs.

Short Answer

Expert verified

The mass of one of your legs is \(10.89\;{\rm{kg}}\).

Step by step solution

01

Given data

There is some fraction of mass in the legs in your body. To find the mass of one of your legs, first, find the total mass of the legs using the percent mass of the upper and lower legs.

The percentage of mass in the upper legs is \(21.5\% \).

The percentage of mass in the lower legs \(9.6\% \).

Assume that a normal person has a body mass of 70 kg.

02

Calculation of the center of mass

Now, the total mass of the legs is:

\(\begin{array}{c}M = \left( {21.5\% + 9.6\% } \right)\;{\rm{of}}\;70\;kg\\ = \;31.1\% \;{\rm{of}}\;70\;kg\\ = 21.77\;{\rm{kg}}\end{array}\)

Therefore, the mass of one leg is:

\(\begin{array}{c}m = \frac{M}{2}\\ = \frac{{21.77\;{\rm{kg}}}}{2}\\ = 10.89\;{\rm{kg}}\end{array}\)

Hence, the mass of one of your legs is \(10.89\;{\rm{kg}}\).

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FIGURE 7-41

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