Lesson: Center of Mass of Particles

The figure shows three weights arranged in an equilateral triangle of side length 12 cm. Find the coordinates of the centre of gravity of the system.

A rhombus in which such that point is located in the first quadrant of a Cartesian plane, is at the origin, and point is on the -axis. Masses of 4 g, 3 g, 6 g, and 10 g are attached at vertices , , and respectively. Find the coordinates of the centre of gravity of the system.

The equilateral triangle in the figure has a side length of 36 cm. Point is the intersection of its medians (its centroid) and is the midpoint of . Masses of magnitudes 15 g, 27 g, 40 g, 12 g, and 50 g are fixed at the points , , , , and respectively. Determine the coordinates of the center of gravity of the system.