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Lesson Worksheet: Center of Gravity of Particles Mathematics
In this worksheet, we will practice finding the position of the center of gravity of a set of particles arranged in a two-dimensional plane.
In a rectangle , and . Four masses of 6, 7, 5, and 9 g are placed at the vertices , , , and respectively. Another mass of magnitude 8 grams is attached to the midpoint of . Determine the coordinates of the center of mass of the system given that C is placed at the origin, and the scales of the axes are defined such that each unit represents 1 cm of distance.
A triangle , where , , , and and are the midpoints of and respectively, is located in the first quadrant of a Cartesian plane such that is at the origin, and the point is on -axis. Three equal masses are placed at points , , and . Determine the coordinates of the center of gravity of the system.