Finding the Angle a Hanging Lamina Makes With the Vertical
The centre of gravity of a hanging body always hangs vertically below the point of suspension. If we know the distance of the centre of gravity from two axes, we can use the rules of trigonometry to find the angle a line drawn in the lamina makes with the vertical.
The lamina is hung from G, with the centre of gravity O vertically below G. GHF is a right angled triangle and
Hanging the lamina from a different pont will mean the lamina makes a different angle with the vertical, but the centre of gravity will always be below the point of suspension.