Lesson: Finding the Center of Gravity of a Set of Discrete Particles in a Plane

Four masses of 630 g are placed at the vertices of a square of side length . Determine the coordinates of the center of gravity of the system relative to the axes and .

The figure shows a system of point masses . The mass of each point is detailed in the table. Find the coordinates of the center of gravity of the system.

Position	at	at	at	at
Mass	kg	kg	kg	kg

The equilateral triangle in the figure has a side length is 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 centre of gravity of the system.