To keep the calculations fairly simple, but still reasonable, we shall model a human leg that is 92.0cm 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 70.0kg person, the mass of the upper leg would be 8.60kg , while that of the lower leg (including the foot) would be 5.30kg . Take that x-axis is directed horizontally and the y-axis is directed vertically downward.
A) Find the x-coordinate of the center of mass of this leg, relative to the hip joint, if it is stretched out horizontally.
B) Find the y-coordinate of the center of mass of this leg, relative to the hip joint, if it is stretched out horizontally.
C) 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.
D) Find the y-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.