Consider an adult with 70 kg mass and 1.70m 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 x, and y, 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 ycG. 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 I (cm) y (cm) Mass (kg) Head 10.0 77.5 4.8 Neck-trunk-crossed ams 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

Consider an adult with 70 kg mass and 1.70m 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 x, and y, 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 ycG. 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 I (cm) y (cm) Mass (kg) Head 10.0 77.5 4.8 Neck-trunk-crossed ams 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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

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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

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