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A rod of length L is placed along the x-axis between x=0 and x=L. The linear mass density (mass/length) ρ of the rod varies with the distance x from the origin as ρ=a+bx. Here, a and b are constants. Find the position of centre of mass of this rod.

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A rod of length L is placed along the x-axis between x=0 and x=L. The linear mass density (mass/length) ρ of the rod varies with the distance x from the origin as ρ=a+bx. Here, a and b are constants. Find the position of centre of mass of this rod.




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