Many of the elements in horizontal-bar exercises can be modeled by representing the gymnast by four segments consisting of arms, torso (including the heäd), thighs, and lower legs, as SHOWH IN Figure (b). Inertial parameters for a particular gymnast are as follows. Segment Mass(kg) Length (m) reg (m) (kg-m2) Arms 6.87 0.520 0.239 0.205 0.601 0.374 Torso 35.90 0.337 1.680 Thighs Legs 12.60 0.187 0.173 7.24 0.227 1.580 Note that in Figure (b) rca is distance from the center of gravity of each segment to the joint closest to the bar (the bar is where the knuckles are, and the joint closest to the bar is not measured by distance, but by the position of the body, i.e. the torso-thigh joint is closer to the bar than the thigh-leg joint). I is the moment of inertia of each segment about its center of gravity. Calculate the position of the center of gravity of the gymnast shown. Pay close attention to the definition of rcg in the table. Xcg = Yeg = thigh leg 60° arm 60° torso (b)

Many of the elements in horizontal-bar exercises can be modeled by representing the gymnast by four segments consisting of arms, torso (including the heäd), thighs, and lower legs, as SHOWH IN Figure (b). Inertial parameters for a particular gymnast are as follows. Segment Mass(kg) Length (m) reg (m) (kg-m2) Arms 6.87 0.520 0.239 0.205 0.601 0.374 Torso 35.90 0.337 1.680 Thighs Legs 12.60 0.187 0.173 7.24 0.227 1.580 Note that in Figure (b) rca is distance from the center of gravity of each segment to the joint closest to the bar (the bar is where the knuckles are, and the joint closest to the bar is not measured by distance, but by the position of the body, i.e. the torso-thigh joint is closer to the bar than the thigh-leg joint). I is the moment of inertia of each segment about its center of gravity. Calculate the position of the center of gravity of the gymnast shown. Pay close attention to the definition of rcg in the table. Xcg = Yeg = thigh leg 60° arm 60° torso (b)

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Description: Many of the elements in horizontal-bar exercises can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as shown inFigure (b). Inertial parameters for a particular gymnast

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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Question

Many of the elements in horizontal-bar exercises can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as shown in
Figure (b). Inertial parameters for a particular gymnast are as follows.
Segment
Mass(kg) Length (m) rcg (m) (kg•m²)
Arms
6.87
0.520
0.239
0.205
Torso
35.90
0.601
0.337
1.680
Thighs
12.60
0.374
0.187
0.173
Legs
7.24
0.227
1.580
Note that in Figure (b) rca is distance from the center of gravity of each segment to the joint closest to the bar (the bar is where the knuckles are, and the joint closest to the bar is not measured by
distance, but by the position of the body, i.e. the torso-thigh joint is closer to the bar than the thigh-leg joint). I is the moment of inertia of each segment about its center of gravity. Calculate the
position of the center of gravity of the gymnast shown. Pay close attention to the definition of rca in the table.
Xcg =
Ycg
%3D
thigh
leg
arm
60°
60°
torso
(a)
(b)

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