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

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

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

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

A thin rod of length L is lying along the x-axis with its ends at x=0 and x=L its linear (mass/length) varies with x as k(x/L)^n , where n can be zero of any positive number. If to position x_(CM) of the centre of mass of the rod is plotted against 'n', which of the following graphs best apporximates the dependence of x_(CM) on n?