Many aspects of a gymnast's motion can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as in the figure below. Thigh Arm Leg \60° 60° Torso In the figure, (b) shows arrows of lengths r locating the center of gravity of each segment. Use the data below and the coordinate system shown in figure (b) to locate the center of gravity of the gymnast shown in figure (a). Masses for the arms, thighs, and legs include both appendages. (Enter your answers in m, to at least three significant figures.) Segment Mass (kg) Length (m) rcg (m) Arms 6.81 0.548 0.236 Torso 33.6 0.613 0.337 Thighs 14.1 0.368 0.149 Legs 7.50 0.350 0.227

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter8: Rotational Equilibrium And Rotational Dynamics
Section: Chapter Questions
Problem 16P
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Many aspects of a gymnast's motion can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as in the figure below.
Thigh
O Arm
Leg
60°
60°
Torso
a
(i
In the figure, (b) shows arows of lengths re locating the center of gravity of each segment. Use the data below and the coordinate system shown in figure (b) to locate the center of gravity of
the gymnast shown in figure (a). Masses for the arms, thighs, and legs include both appendages. (Enter your answers in m, to at least three significant figures.)
Segment
Mass (kg)
Length (m) rcg (m)
Arms
6.81
0.548
0.236
Torso
33.6
0.613
0.337
Thighs
14.1
0.368
0.149
Legs
7.50
0.350
0.227
HINT
Xcg
0.458
%D
Y cg
0.0949
X m
Transcribed Image Text:Many aspects of a gymnast's motion can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as in the figure below. Thigh O Arm Leg 60° 60° Torso a (i In the figure, (b) shows arows of lengths re locating the center of gravity of each segment. Use the data below and the coordinate system shown in figure (b) to locate the center of gravity of the gymnast shown in figure (a). Masses for the arms, thighs, and legs include both appendages. (Enter your answers in m, to at least three significant figures.) Segment Mass (kg) Length (m) rcg (m) Arms 6.81 0.548 0.236 Torso 33.6 0.613 0.337 Thighs 14.1 0.368 0.149 Legs 7.50 0.350 0.227 HINT Xcg 0.458 %D Y cg 0.0949 X m
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