Concept explainers
Figure P3.28 illustrates typical proportions of male (m) and female (f) anatomies. The displacements
Figure P3.28
Answer to Problem 28P
Explanation of Solution
Section 1:
To determine: The vector sum of displacements for male in unit vector notation.
Answer: The unit vector notation for vector sum of displacements for male is
Explanation:
Given information:
The magnitude of male displacements,
The displacements of male in unit vector notation is given as,
Formula to calculate the vector sum for male is given as,
Substitute
Section 2:
To determine: The magnitude of the vector sum of displacements for male.
Answer: The magnitude of the vector sum of the displacements for male is
Explanation:
Given information:
The magnitude of male displacements,
Formula to calculate the magnitude of the vector sum of the displacements for male is,
Substitute
Conclusion:
Therefore, the magnitude of the vector sum of the displacements for male is
Section 3:
To determine: The direction for the vector sum of the displacements for male.
Answer: The direction for the vector sum of the displacements for male is
Explanation:
Given information:
The magnitude of male displacements,
Formula to calculate the direction for the vector sum of the displacements for male is,
Substitute
Conclusion:
Therefore, the direction for the vector sum of the displacements for male is
Section 4:
To determine: The vector sum of displacements for female in unit vector notation.
Answer: The unit vector notation for vector sum of displacements for female is
Explanation:
Given information:
The magnitude of male displacements,
The displacements of female in unit vector notation is given as,
Formula to calculate the vector sum for female is given as,
Substitute
Section 5:
To determine: The magnitude of the vector sum of displacements for female.
Answer: The magnitude of the vector sum of the displacements for female is
Explanation:
Given information:
The magnitude of male displacements,
Formula to calculate the magnitude of the vector sum of the displacements for female is,
Substitute
Conclusion:
Therefore, the magnitude of the vector sum of the displacements for female is
Section 6:
To determine: The direction for the vector sum of the displacements for female.
Answer: The direction for the vector sum of the displacements for female is
Explanation:
Given information:
The magnitude of male displacements,
Formula to calculate the direction for the vector sum of the displacements for male is,
Substitute
Conclusion:
Therefore, the direction for the vector sum of the displacements for female is
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