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Physics · 2014
JEE Main · 11 April 2014, Shift 1 · Q6
A thin bar of length L has a mass per unit length λ, that increases linearly with distance from one end. If its total mass is M and its mass per unit…
A thin bar of length $\displaystyle L$ has a mass per unit length $\displaystyle \lambda$, that increases linearly with distance from one end. If its total mass is M and its mass per unit length at the lighter end is $\displaystyle \lambda_{\mathrm{o}},$ then the distance of the centre of mass from the lighter end is :
Official answer
(4)
$\displaystyle \frac{2 \mathrm{~L}}{3}-\frac{\lambda_{\mathrm{o}} \mathrm{~L}^2}{6 \mathrm{M}}$
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JEE Main 2014 Physics question, with the answer from NTA’s final answer key. Where our answers come from.