Reference no: EM13539659

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) I (kg · m2) Arms 6.87 0.540 0.239 0.205 Torso 31.60 0.601 0.337 1.690 Thighs 13.00 0.374 0.151 0.173 Legs 7.40 — 0.227 0.174 Note that in figure (b) rcg is the distance to the center of gravity measured from 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) and the masses of the arms, thighs, and legs include both appendages. 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 below. Pay close attention to the definition of rcg in the table. her legs are at a 60 degree angle