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 uniform lamina is in the form of a square of side length 51 cm. The points and are the midpoints of and , respectively. The corner has been folded over along the line so that the point aligns with , the center of the square, as shown in the diagram. Determine the coordinates of the center of gravity of the lamina in this form.
Find the coordinates of the centre of mass of the following figure, which is drawn on a grid of unit squares.