Finding the Center of Mass of a Human Figure

[yoshuayisrael]

Homework Statement

(1) the torso, neck, and head (total mass = 42.3 kg) with a center of mass located on the y-axis at a point 0.423 m above the origin, (2) the upper legs (mass = 19.8 kg) with a center of mass located on the x-axis at a point 0.190 m to the right of the origin, and (3) the lower legs and feet (total mass = 9.91 kg) with a center of mass located 0.492 to the right of and 0.253 m below the origin. Find the (a) x coordinate and (b) the y coordinate of the center of mass of the human figure.

Note that the mass of the arms and hands (approximately 12% of the whole-body mass) has been ignored to simplify the drawing.

The Attempt at a Solution

(42.3) (0.423)+ (19.8) (0) + (9.91) (-0.253)
____________________________________________

(42.3) +(19.8) + (9.91) AM I CORRECT?

 

[member 553083]

(a) X coordinate = (19.8)(0) + (9.91)(-0.492) / (42.3) + (19.8) + (9.91) (b) Y coordinate = (42.3)(0.423) + (9.91)(-0.253) / (42.3) + (19.8) + (9.91)