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The top view of a table, with weight W_t, is shown in the figure.

The top view of a table, with weight W_t, is shown in the figure. (Intro 1 figure) The table has lost the leg at (L_x, L_y), in the upper right corner of the diagram, and is in danger of tipping over. Company is about to arrive, so the host tries to stabilize the table by placing a heavy vase (represented by the green circle) of weight W_v at ( X, Y). Denote the magnitudes of the upward forces on the table due to the legs at (0, 0), (L_x, 0), and (0, L_y) as F_0, F_x, and F_y, respectively.

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