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

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 10PQ: A makeshift sign hangs by a wire that is extended over an ideal pulley and is wrapped around a large...

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