Answer:
Xc = 64.27 cm, Yc = 0 cm, Xc = 27.73 cm, Yc = 18.27 cm
Explanation:
A human leg is 92 cm long equally divided into two parts (upper leg and lower leg) that is both are 46 cm long
M1 = 8.35 kg
M2 = 5.50 kg
A. Starting from hip joint, when the leg is placed horizontally, the X coordinate of centre of mass will be
Xc = (m1x1 + m2x2) / m1 + m2
Xc = (8.35x46 + 5.50 x 92) / 8.35 + 5.50
( here we took x2 = 92 cm because we are measuring length from the hip joint, that means length at hip joint is 0 and at the foot 92 cm)
Xc = 890.1 / 13.85
Xc = 64.27 cm
B. Yc = (y1m1 + y2m2) / m1 + m2
Yc = (0x8.35 + 0x5.50) / 8.35 + 5.50
( here y1 and y2 are 0 because the leg is placed horizontally that means in X direction so none of the leg component is in Y direction)
Yc = 0 cm
C. Xc = (m1x1 + m2x2) / m1 + m2
Xc = (8.35x46 + 5.50x0) / 8.35 + 5.50
(here x2 is taken 0 because the other half leg is bent vertically that means it is in Y direction so its X component is 0)
Xc = 384.1 / 13.85
Xc = 27.73 cm
D. Yc = (m1y1 + m2y2) / m1 + m2
Yc = (8.35x0 + 5.50x46) / 8.35 + 5.50
(here y1 is zero because the upper leg is in X direction and y2 is taken 46 cm because starting measuring from hip joint 46 cm of length of lower leg is in Y direction)
Yc = 253/13.85
Yc = 18.27 cm
