Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.4 kg at (0.0, 3.7) m, and 4.0 kg at (2.9, 0.0) m. Where should a fourth object of 8.6 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 2.9 kg at (0.0, 3.7) m, and 4.0 kg at (2.8, 0.0) m. Where should a fourth object of 7.0 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m? X = y = E E

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 2.7 kg at (0.0, 3.4) m, and 4.0 kg at (3.2, 0.0) m. Where should a fourth object of 6.6 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?

The Cavendish balance shown in the figure below has two large lead balls, each of mass M = 1.5 kg,and two smaller lead balls, each of mass m = 0.8 kg. The lengths of the suspended rod to which the twosmaller balls are attached and the fixed rod to which the larger balls are attached are both 40 cm asmeasured from the center of each lead ball. If the angle between the centers of the large and smallballs is  = 22 degrees with respect to the rotational axis established by the quartz fiber, find the force ofgravitational attraction between each pair of large and small balls.