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The density of a non-uniform rod of length 1m is given by λ(x) = p(1 + qx^{2}) where p and q are constants and 0≤x≤1. The centre of mass of the rod will be at ...........

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The centre of mass of a non-uniform rod of length L whose mass per unit length $\mathrm{\lambda}$ varies as $\mathrm{\lambda}=\frac{\mathrm{k}.{\mathrm{x}}^{2}}{\mathrm{L}}$ where k is a constant and x is the distance of any point on rod

from its one end, is (from the same end)

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