Consider the procedure for measuring a woman's center of gravity given in Example 8.3. The \(600 \mathrm{~N}\) woman is in place on the board, with the scale reading \(250 \mathrm{~N}\). She now extends her arms upward, in front of her body. This raises her center of gravity relative to her feet by \(4.0 \mathrm{~cm}\). What is the new reading on the scale?

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EXAMPLE 8.3 Finding the center of gravity of the hu A woman weighing 600 N lies on a 2.5-m-long, 60 N reaction board with her feet over the pivot. The scale on the right reads 250 N. What is the distance d from the woman's feet to her center of gravity? PREPARE The forces and distances in the problem are shown in FIGURE 8.8. We'll consider the board and woman as a single object. We've assumed that the board is uniform, so its center of gravity is at its midpoint. To eliminate the unknown magnitude of FIGURE 8.8 Visual overview of the reaction board and woman. Pivot The subject's weight acts at her center of gravity. Scale F Known w=600 N W=60 N L= 2.5 m Wb F-250 N d L Find d The board's weight acts at its center of gravity.