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Design a practical method to determine the centroid of an armchair. Explain the principle behind your...

Design a practical method to determine the centroid of an armchair. Explain the principle behind your method.

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Answer #1

Hang the given armchair from its one of the leg via a rope from a support. Then extrapolate the line formed by the rope through the body of the armchair. Now use other leg of armchair and repeat the same thing. The two extrapolated line will intersect at centroid. For more precise location we can hang chair by multiple points and repeat the same exercise.

Why this method work.

This method work because the hanging chair is in rotational equilibrium. Therefore the center of mass or centroid will have to pass through the extrapolated line of the rope.

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