(Solution Library) A rod of length 4 ~m and density δ(x)=-(1)/(x^2-6 x-7) gm / m is placed on the x axis with ends at x=1 and x=5. Show all work.
Question: A rod of length \(4 \mathrm{~m}\) and density \(\delta(x)=-\frac{1}{x^{2}-6 x-7} \mathrm{gm} / \mathrm{m}\) is placed on the \(x\) axis with ends at \(x=1\) and \(x=5\). Show all work.
- Find the total mass of the rod.
- Will the center of mass of the rod be on the left or on the right of \(x=3\), or will it be at \(x=3\) ? Explain.
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