The lumbar portion of the human spine supports the entire weight of the upper torso and the force load imposed on it. We consider here the disk (shaded red) between the lowest vertebra of the lumbar region (Lg) and the uppermost vertebra of the sacrum re- gion. (a) For the case L = 0, determine the com- pressive force C and the shear force S supported by this disk in terms of the body weight W. The weight W, of the upper torso (above the disk in question) is 68% of the total body weight W and acts at G.. The vertical force F which the rectus muscles of the back 25 mm W L3 L4 L5 G2 TAP exert on the upper torso acts as shown in the figure. (b) Repeat for the case when the person holds a weight of magnitude L = W/3 as shown. State any assumptions. Sacrum 300 mm 50 mm

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3/60 The lumbar portion of the human spine supports the
entire weight of the upper torso and the force load
imposed on it. We consider here the disk (shaded red)
between the lowest vertebra of the lumbar region
(L5) and the uppermost vertebra of the sacrum re-
gion. (a) For the case L = 0, determine the com-
pressive force C and the shear force S supported by
this disk in terms of the body weight W. The weight
W, of the upper torso (above the disk in question) is
68% of the total body weight W and acts at G1. The
vertical force F which the rectus muscles of the back
25 mm
G1
W
L3
L4
L5
G2
exert on the upper torso acts as shown in the figure.
(b) Repeat for the case when the person holds a
weight of magnitude L W/3 as shown. State any
assumptions.
Sacrum
300 mm
50 mm
Transcribed Image Text:3/60 The lumbar portion of the human spine supports the entire weight of the upper torso and the force load imposed on it. We consider here the disk (shaded red) between the lowest vertebra of the lumbar region (L5) and the uppermost vertebra of the sacrum re- gion. (a) For the case L = 0, determine the com- pressive force C and the shear force S supported by this disk in terms of the body weight W. The weight W, of the upper torso (above the disk in question) is 68% of the total body weight W and acts at G1. The vertical force F which the rectus muscles of the back 25 mm G1 W L3 L4 L5 G2 exert on the upper torso acts as shown in the figure. (b) Repeat for the case when the person holds a weight of magnitude L W/3 as shown. State any assumptions. Sacrum 300 mm 50 mm
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