A rod of length L has non-uniform linear mass density given by ρ(x)=a+b(aL)2, where a and b are constants and 0≤x≤L. The value of x for the centre of mass of the rod is at:

A rod of length L has non-uniform linear mass density given by ρ(x)=a

1.	A rod of length L has non-uniform linear mass density given by ρ(x)=a+b(aL)2, where a and b are constants and 0≤x≤L. The value of x for the centre of mass of the rod is at:
Answer» A rod of length $L$ has non-uniform linear mass density given by $ρ (x) = a + b {(\frac{a}{L})}^{2}$ , where $a$ and $b$ are constants and $0 \leq x \leq L$ . The value of $x$ for the centre of mass of the rod is at:

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A rod of length L has non-uniform linear mass density given by ρ(x)=a+b(aL)2, where a and b are constants and 0≤x≤L. The value of x for the centre of mass of the rod is at:

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