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. HINT Xcg Ycg TE 60° = Segment G In the figure, (b) shows arrows of lengths rc 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.) Arms Torso Thighs Legs m m Mass (kg) Length (m) rcg (m) 6.81 33.6 14.1 7.58 0.548 0.613 0.370 0.350 0.242 0.337 0.149 Arm 0.227 Thigh Torso 60° Leg

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. HINT Xcg Ycg TE 60° = Segment G In the figure, (b) shows arrows of lengths rc 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.) Arms Torso Thighs Legs m m Mass (kg) Length (m) rcg (m) 6.81 33.6 14.1 7.58 0.548 0.613 0.370 0.350 0.242 0.337 0.149 Arm 0.227 Thigh Torso 60° Leg

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.22P

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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 b In the figure, (b) shows arrows of lengths r, locating the center of gravity of each segment. Use the data below and the cg 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) (m) Arms 6.89 0.548 0.242 Torso 33.6 0.613 0.337 Thighs 14.1 0.376 0.145 Legs 7.50 0.350 0.227 HINT m %D m y cg E E
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