A square laminar sheet with side a and mass M, has mass per unit area given by σ(x)=σ0[1−xa]. Moment of inertia of the Sheet about Y –axis is Ma2n where n is

dM=σ0(1−xa)dx M=σ0a22 ⇒d(MOI)=dmx2 MOI=∫dMx2=Ma26

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A square laminar sheet with side a and mass M, has mass per unit area given by $σ (x) = σ_{0} [1 - \frac{x}{a}]$ . Moment of inertia of the Sheet about Y –axis is $\frac{M a^{2}}{n}$ where n is

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$d M = σ_{0} (1 - \frac{x}{a}) d x M = \frac{σ_{0} a^{2}}{2} \Rightarrow d (M O I) = d m x^{2} M O I = \int d M x^{2} = \frac{M a^{2}}{6}$

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