03 points 1 Previous Answers SerCP11 8 P085 3/15 Submissions Used My Notes Ask Y

Question

03 points 1 Previous Answers SerCP11 8 P085 3/15 Submissions Used My Notes Ask Your 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° HIN Torso In the figure, (b) shows arrows of lengths reg 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) rog (m) Arms 6.85 0.548 0.242 Torso 33.6 0.597 0.337 Thighs14.1 0.372 0.149 Legs 7.50 0.350 0.227 HINT Need Help? En Ewen Submit Answer Save Progress Practice Another Version

Explanation / Answer

m1 = 6.85 kg

x1 = 0 , y1 = 0.242 m

m2 = 33.6 kg

x2 = 0.337 m , y2 = 0

m3 = 14.1 kg

x3 = (0.597) + (0.149 cos60) = 0.6715 m

y2 = 0.149 sin60 = 0.129 m

m4 = 7.50 kg

x4 = (0.597) + (0.397 cos60)+(0.227) = 1.0225 m  

y4 = 0.397 sin60 = 0.344 m

xcg = (m1 x + m2 x2 + m3 x3 + m4 x4) / (m1 + m2 + m3 + m4)

x_cg = 0.459 m .........Ans

y_cg = (m1 y1 + m2 y2 + m3 y3 + m4 y4) / (m1 + m2 + m3 + m4)

y_cg = 0.0976 m ....Ans

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