A biology laboratory at your university is studying the location of a person\'s

Question

A biology laboratory at your university is studying the location of a person's center of gravity as a function of her or his body weight. They pay well and you decide to volunteer. The location of your center of gravity when standing erect is to be determined by having you lie on a uniform board (mass of 5.00 kg, length 2.00 m) supported by two scales, as shown in the figure. If your height is 182 cm and the left scale reads 465 N while the right scale reads 365 N, where is your center of gravity relative to your feet? Assume the scales are both exactly the same distance from the two ends of the board, are separated by 173 cm, and are set to each read zero before you get on the platform. . cm Draw an extended free-body diagram of the forces acting on the you-board system. Because the you-board system is in equilibrium, you can apply the conditions for translational and rotational equilibrium to relate the forces exerted by the scales to the distance measured from your feet, to your center of mass and the distance to the center of gravity of the board.

Explanation / Answer

help: Xr = SM/SW = (430*176 + 355*0)/(430+355) = 96.4 cm

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