Chapter 7, Problem 53P

To determine

The mass of a single leg.

Answer to Problem 53P

Mass of a single leg is 12 kg.

Explanation of Solution

Given:

According to the table of proportions, the relative mass of both the upper and lower legs and both feet are $21.5\text{kg}, 9.6\text{kg}, \text{and} 3.4\text{kg}$ respectively.

Formula used:

The relative mass is given by the formula,

  $\text{Relative mass}=\frac{{\displaystyle \sum m\times m_1}}{100}$

Calculation:

To find the mass for a single leg, a factor of $\frac{1}{2}$ needs to be applied. Assuming a person weighs $\text{70 kg}$ . Thus, the mass of a single leg is

  $\begin{array}{c}M=(70 \text{kg})\frac{(21.5+9.6+3.4)}{100}\times \frac{1}{2}\\ =\text{12}\text{kg}\end{array}$

Conclusion:

Thus, mass of a single leg is $12 \text{kg}$