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Algebra
Question

A square plate of edge \(a cm\) if the areal dens...

A square plate of edge \(a cm\) if the areal density at \(P\) is \(k x\) g/cm \({ } ^ { 2 }\) , where \(x\) is the distance from \(P\) to one edge of the square

Answer

\(m = \frac { k a ^ { 3 } } { 2 } ; \quad \overline { x } = \frac { 2 a } { 3 } , \quad \overline { y } = \frac { a } { 2 }\)

Solution
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