Concept explainers
The radius of gyration of the thigh with respect to the transverse axis at the hip is 54% of the segment length. The mass of the thigh is 10.5% of total body mass, and the length of the thigh is 23.2% of total body height. What is the moment of inertia of the thigh with respect to the hip for males of the following body masses and heights?
MASS (kg) | HEIGHT (m) | |
A | 60 | 1.6 |
B | 60 | 1.8 |
C | 70 | 1.6 |
D | 70 | 1.8 |
(Answers: A = 0.25 kg m2; B = 0.32 kg m2; C = 0.30 kg m2; D = 0.37 kg m2)
To determine: The moment of inertia of the thigh with respect to the hip for males A, B, C, and D.
Answer to Problem 1AP
The moment of inertia of the thigh with respect to the hip for males A, B, C, and D are
Explanation of Solution
Calculation:
Expression for the moment of inertia is,
Here,
The radius gyration is certain percentage of length of the thigh and length of the thigh is certain percentage of total body height.
The moment of inertia of male A:
Rewrite equation (1).
Substitute
Thus, the moment of inertia of male A is
The moment of inertia of male B:
Rewrite equation (1).
Substitute
Thus, the moment of inertia of male B is
The moment of inertia of male C:
Rewrite equation (1).
Substitute
Thus, the moment of inertia of male C is
The moment of inertia of male D:
Rewrite equation (1).
Substitute
Thus, the moment of inertia of male B is
Therefore, the moment of inertia of the thigh with respect to the hip for males A, B, C, and D are
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Chapter 14 Solutions
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