A thin rod of length `6 m` is lying along the x-axis with its ends at `x = 0` and `x = 6m`. It linear density (mass/length) varies with x as `kx^(4)`. Find the position of centre of mass of rod in meters.A. B. C. D.

A thin rod of length `6 m` is lying along the x-axis with its ends at

1.	A thin rod of length `6 m` is lying along the x-axis with its ends at `x = 0` and `x = 6m`. It linear density (mass/length) varies with x as `kx^(4)`. Find the position of centre of mass of rod in meters.A. B. C. D.
Answer» Correct Answer - A `x_(cm) = (intxdm)/(intdm) = (int_(0)^(L) k ((x)/(L))^(n) xdm)/(int_(0)^(L) k ((x)/(L))^(n) dx) = ((n + 1)/(n + 2)) L` For `n = 0, x_(cm) = (L)/(2)` and for `n rarr theta, x_(cm) = L`

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A thin rod of length `6 m` is lying along the x-axis with its ends at `x = 0` and `x = 6m`. It linear density (mass/length) varies with x as `kx^(4)`. Find the position of centre of mass of rod in meters.A. B. C. D.

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