x c = c m we shall model a human leg that is 91.0cm long (measured from the hip

Question

x c = cm we shall model a human leg that is 91.0cm long (measured from the hip joint) by assuming that the upper leg and the lower leg (which includes the foot) have equal lengths and that each of them is uniform. For a 68.4kg person, the mass of the upper leg would be 8.75kg, while that of the lower leg (including the foot) would be 5.21kg Find the x -coordinate of the center of mass of this leg, relative to the hip joint, if it is stretched out horizontally. Find the y-coordinate of the center of mass of this leg, relative to the hip joint, if it is stretched out horizontally. Find the x  -coordinate of the center of mass of this leg, relative to the hip joint, if it is bent at the knee to form a right angle with the upper leg remaining horizontal. Find the coordinate of the center of mass of this leg, relative to the hip joint, if it is bent at the knee to form a right angle with the upper leg remaining horizontal.

Explanation / Answer

part1) Xcor=(8.75*45/2+5.21*(45+45/2))/(8.75+5.21)=39.29 cm

part2)Ycor (in magnitude)=0cm (As leg is symmetric to y axis)

part3)Xcor=(8.75*45/2+5.21*(45))/(8.75+5.21)=30.89cm

part4) Ycor=5.21*45/2/(8.75+5.21)=8.4cm

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