A thin rod of length ′L′ is lying along the x-axis with its ends at x=0 and x=L. Its linear density (masslength)varies with x as k(xL)n, where n can be zero or any positive number. If the position xcm of the center of mass of the rod is plotted against ′n′ which of the following graphs best approximates the dependence of xcm on n?

A thin rod of length ′L′ is lying along the x-axis with its ends a

1.	A thin rod of length ′L′ is lying along the x-axis with its ends at x=0 and x=L. Its linear density (masslength)varies with x as k(xL)n, where n can be zero or any positive number. If the position xcm of the center of mass of the rod is plotted against ′n′ which of the following graphs best approximates the dependence of xcm on n?
Answer» A thin rod of length $^{'} L^{'}$ is lying along the x-axis with its ends at $x = 0$ and $x = L$ . Its linear density $(\frac{mass}{length})$ varies with $x$ as $k {(\frac{x}{L})}^{n}$ , where $n$ can be zero or any positive number. If the position $x_{c m}$ of the center of mass of the rod is plotted against $^{'} n^{'}$ which of the following graphs best approximates the dependence of $x_{c m}$ on $n$ ?

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