A biology laboratory at your university is studying the location ofa person\'s c

Question

A biology laboratory at your university is studying the location ofa person's center of gravity as a function of her or his bodyweight. They pay well and you decide to volunteer. The location ofyour center of gravity when standing erect is to be determined byhaving 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 is183 cm and the left scale reads435 N while the right scale reads355 N, where is your center of gravityrelative to your feet? Assume the scales are both exactly the samedistance from the two ends of the board, are separated by172 cm, and are set to each read zerobefore you get on the platform. There is 7cm above your head and7cm below your feet when lying on the board. I'm not even surewhere to start.

Explanation / Answer

   in the given problem we can see that the man-and-boardsystem is in equilibrium we can apply the conditions for    translational and rotational equilibrium to determinethe forces exerted by the supports    let d represent the distance from the mans feet to hiscentre of gravity    apply = 0 about an axis through the mansfeet and perpendicular to the page    (790 N) d - (1.83 m) (435 N) = 0    solving for d we get    d = .......... m       = ........ cm

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