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Question
Explain how you will determine experimentally the position of the centre of gravity for a triangular lamina (or a triangular piece of cardboard).
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Solution
Take a triangular lamina. Make three fine holes at a, b, and c near the edge of the triangular lamina. Now suspend the given lamina along with a plumb line from hole 'a'. Check that the lamina is free to oscillate about the point of suspension. When the lamina has come to rest, draw a straight line ad along the plumb line. Repeat the experiment by suspending the lamina through hole 'b' and then through hole 'c' for which we get straight lines to be and cf, respectively. It is noticed that the lines ad, be and cf intersect each other at a common point G, which is the position of the centre of gravity of the triangular lamina, i.e., the point of intersection of medians.
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