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29/12/2021 12:40 pm
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Find the moment of inertia of a uniform square plate of mass M and side length ‘l’ about an axis passing through one of its vertices and perpendicular to plane?
(a) \(\frac{Ml^2}{3}\)
(b) \(\frac{2Ml^2}{3}\)
(c) \(\frac{Ml^2}{6}\)
(d) \(\frac{Ml^2}{12}\)
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29/12/2021 12:49 pm
Correct answer:(b) \(\frac{2Ml^2}{3}\)
Explanation:
Iz = IOM + M\((\frac{1}{\sqrt 2})^2\)
= \(\frac{Ml^2}{6}\) + \(\frac{Ml^2}{2}\)
= \(\frac{4Ml^2}{6}\) = \(\frac{2Ml^2}{3}\)