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Question

Physics Question on Mathematical Methods

A square laminar sheet with side a and mass M, has mass per unit area given by σ(x)=σ0[1xa]\sigma(x)=\sigma_0[1-\frac{x}{a}], (see figure). Moment of inertia of the sheet about y-axis is

A

Ma22\frac{Ma^2}{2}

B

Ma24\frac{Ma^2}{4}

C

Ma26\frac{Ma^2}{6}

D

Ma212\frac{Ma^2}{12}

Answer

Ma26\frac{Ma^2}{6}

Explanation

Solution

The correct answer is (C) : Ma26\frac{Ma^2}{6}