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

 

[Nate810]

(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)

 

[Moetasim]

I would like to point out that the calculation and approach used in the attempt at a solution is not entirely clear. It would be helpful to show the steps and equations used to arrive at the solution. Additionally, it is important to note that the center of mass of a human figure may vary depending on the individual's body composition and posture. Therefore, the provided values should be considered as an approximation.