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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 Fg2 = 260 N. Determine the distance of the girl's center of mass from her feet.

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 Fg2 = 260 N. Determine the distance of the girl's center of mass from her feet.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 Fg2 = 260 N. Determine the distance of the girl's center of mass from her feet. .616 X 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 Fg2
Transcribed Image Text: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 Fg2 = 260 N. Determine the distance of the girl's center of mass from her feet. .616 X 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 Fg2
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