[1] Using figure 1, the data in table 1, and a weight w = 490 Newtons, determine the force T exerted by the spinal muscles and the components of R, the normal force exerted by the sacrum at the pivot point Figure 1. Force diagram for the spine of a person bending over with the back horizontal. Angle between tension force T and horizontal is 12° and the x coordinate for the attachment point is 0.34h. Other x coordinates are found in the table and figure on the other side of the page. Repeat the calculation assuming the person is lifting an additional 200 Newtons_in their hands, below the shoulders.

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CG.
2h
0.2h
0.4h
Figure 2. The man shown in Fig. 4.65 is now bending
over so that his back is nearly horizontal. Note that his center
of gravity is still over his feet. (Adapted from Williams and
Lissner.)
Masses and centers of gravity of body segments of the man in Figs. 4.65 and 4.66. His total mass is m and his height is h.
For example, if his mass is 70 kg, then the mass of his trunk and head is 0.593m = 0.593(70 kg) = 41.5 kg.
Segment
Mass
Center of Gravity Position for Segment
Figure 2
x/h
y/h
0.52
Trunk and head
Upper arms
0.593m
0.26
0.053m
0.35
0.45
Forearms and hands
0.043m
0.34
0.29
Upper legs
Lower legs and feet
0.193m
0.11
0.40
0.115m
0.17
0.15
Transcribed Image Text:CG. 2h 0.2h 0.4h Figure 2. The man shown in Fig. 4.65 is now bending over so that his back is nearly horizontal. Note that his center of gravity is still over his feet. (Adapted from Williams and Lissner.) Masses and centers of gravity of body segments of the man in Figs. 4.65 and 4.66. His total mass is m and his height is h. For example, if his mass is 70 kg, then the mass of his trunk and head is 0.593m = 0.593(70 kg) = 41.5 kg. Segment Mass Center of Gravity Position for Segment Figure 2 x/h y/h 0.52 Trunk and head Upper arms 0.593m 0.26 0.053m 0.35 0.45 Forearms and hands 0.043m 0.34 0.29 Upper legs Lower legs and feet 0.193m 0.11 0.40 0.115m 0.17 0.15
Problems:
[1] Using figure 1, the data in table 1, and a weight w = 490 Newtons, determine the force T exerted by
the spinal muscles and the components of R, the normal force exerted by the sacrum at the pivot point.
Figure 1. Force diagram for the spine of a person bending over with the back horizontal.
Angle between tension force T and horizontal is 12° and the x coordinate for the attachment point is
0.34h. Other x coordinates are found in the table and figure on the other side of the page.
Repeat the calculation assuming the person is lifting an additional 200 Newtons_ in their hands, below
the shoulders.
Transcribed Image Text:Problems: [1] Using figure 1, the data in table 1, and a weight w = 490 Newtons, determine the force T exerted by the spinal muscles and the components of R, the normal force exerted by the sacrum at the pivot point. Figure 1. Force diagram for the spine of a person bending over with the back horizontal. Angle between tension force T and horizontal is 12° and the x coordinate for the attachment point is 0.34h. Other x coordinates are found in the table and figure on the other side of the page. Repeat the calculation assuming the person is lifting an additional 200 Newtons_ in their hands, below the shoulders.
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