11 p9 3 we will refer to the arrangement as a table

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11. P.9-3. We will refer to the arrangement as a “table.” We locate the coordinate origin at the left end of the tabletop (as shown in Fig. 9-37). With + x rightward and + y upward, then the center of mass of the right leg is at ( x,y ) = (+ L , – L /2), the center of mass of the left leg is at ( x,y ) = (0, – L /2), and the center of mass of the tabletop is at ( x,y ) = ( L /2, 0). (a) The x coordinate of the (whole table) center of mass is ( ) ( ) ( ) com 0 3 / 2 0.5 3 M L M M L x L M M M + + + + = = + + . With L = 22 cm, we have x com = 11 cm. (b) The y coordinate of the (whole table) center of mass is ( ) ( ) ( ) com / 2 / 2 3 0 3 5 M L M L M L y M M M + + = = + + , or y com = – 4.4 cm.
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