The center of mass of a person may be determined by an arrangement such as the...

 

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The center of mass of a person may be determined by an arrangement such as the one shown in the figure below. A light plank rests on two scales separated by a distance of d = 1.80 m and reading Fg1 = 500 N and F92 = 330 N. Determine the distance of the girl's center of mass from her feet. 1.048 Since the girl is in static translational and rotational equilibrium, we expect to use both the first and second condition of equilibrium. Since we wish to determine the distance of her center of mass from her feet, what is a convenient point about which to determine the torques? See if you can write a second condition of equilibrium that relates one of the scale readings and her weight. See if you can write a first condition of equilibrium that relates both scale readings and her weight. You now have two equations and her weight and center of mass as the two unknowns. See if you can manipulate these two equations in order to eliminate her weight and determine the distance of her center of mass from her feet. m -1.80 m- Fg1 The center of mass of a person may be determined by an arrangement such as the one shown in the figure below. A light plank rests on two scales separated by a distance of d = 1.80 m and reading Fg1 = 500 N and F92 = 330 N. Determine the distance of the girl's center of mass from her feet. 1.048 Since the girl is in static translational and rotational equilibrium, we expect to use both the first and second condition of equilibrium. Since we wish to determine the distance of her center of mass from her feet, what is a convenient point about which to determine the torques? See if you can write a second condition of equilibrium that relates one of the scale readings and her weight. See if you can write a first condition of equilibrium that relates both scale readings and her weight. You now have two equations and her weight and center of mass as the two unknowns. See if you can manipulate these two equations in order to eliminate her weight and determine the distance of her center of mass from her feet. m -1.80 m- Fg1