Consider an adult with 70 kg mass and 1.70 m height, seated on the floor, with crossed arms and outstretched legs, as shown in the figure. It is not very easy to remain in this posture during a long time. The figure shows the lateral cut, and the table gives the x and y coordinates of the center of gravity of some segments, as well as the respective masses. The C.G. of head and of neck-trunk-crossed arms is vertically aligned at a distance of 81 cm from the sole of the feet.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider an adult with 70 kg mass and 1.70 m height, seated on the floor, with crossed
arms and outstretched legs, as shown in the figure. It is not very easy to remain in this
posture during a long time. The figure shows the lateral cut, and the table gives the x
and y coordinates of the center of gravity of some segments, as well as the respective
masses. The C.G. of head and of neck-trunk-crossed arms is vertically aligned at a
distance of 81 cm from the sole of the feet.
(a) Find the coordinates xA and yA of the C.G. of the
set head-neck-trunk- crossed arms.
(b) Locate the coordinates xg and yg of the C.G. of the set
thigh-legs-feet.
(c) Calculate the coordinates xc.G. and yc.G. of C.G. of :
this person's body and explain why we do not feel
comfortable in this posture.
81 cm
Coordinates of C.G.
Parts of body
x (ст)
y (cm)
Mass (kg)
Head
10.0
77.5
4.8
Neck-trunk-crossed arms
10.0
36.0
41.1
Thigh (both)
Leg (both)
Feet (both)
19.0
10.0
15.0
60.0
10.0
6.7
88.0
10.0
2.4
Transcribed Image Text:Consider an adult with 70 kg mass and 1.70 m height, seated on the floor, with crossed arms and outstretched legs, as shown in the figure. It is not very easy to remain in this posture during a long time. The figure shows the lateral cut, and the table gives the x and y coordinates of the center of gravity of some segments, as well as the respective masses. The C.G. of head and of neck-trunk-crossed arms is vertically aligned at a distance of 81 cm from the sole of the feet. (a) Find the coordinates xA and yA of the C.G. of the set head-neck-trunk- crossed arms. (b) Locate the coordinates xg and yg of the C.G. of the set thigh-legs-feet. (c) Calculate the coordinates xc.G. and yc.G. of C.G. of : this person's body and explain why we do not feel comfortable in this posture. 81 cm Coordinates of C.G. Parts of body x (ст) y (cm) Mass (kg) Head 10.0 77.5 4.8 Neck-trunk-crossed arms 10.0 36.0 41.1 Thigh (both) Leg (both) Feet (both) 19.0 10.0 15.0 60.0 10.0 6.7 88.0 10.0 2.4
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