A square of side length . Three masses of 610 g are placed at , , and . Find the coordinates of the centre of mass of the system.
A uniform lamina is in the form of a rectangle in which and . The corner , where is the midpoint of , was cut off. The resulting lamina was freely suspended from the vertex . Determine the size of the angle the side makes to the vertical when the lamina is hanging in its equilibrium position stating your answer to the nearest minute.
A square-shaped uniform lamina has a side length of 28 cm. A circular disk of radius 7 cm was cut out of the lamina such that its center was at a distance of 17 cm from both and . Determine the coordinates of the center of mass of the resulting lamina. Take .