The figure shows a uniform square lamina of side length 76 cm and mass . The centre of the square is , and and are the midpoints of and respectively. The corner was bent over so that meets . Find the tangent of the angle that makes to the vertical when the body is hanging in its equilibrium position from . A weight of mass was later added to the lamina, causing the centre of mass of the system to be at the centre of the square. Find the coordinates of the point where the weight was added.
Find the angle that makes with the vertical if this L-shaped uniform lamina is freely suspended from , giving your answer to the nearest degree.
Find, to the nearest degree, the angle that the line makes with the vertical if the given uniform lamina is hung freely from .