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Center Of Mass Of A Non-Uniform Rod

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A non-uniform rod of length LL has a linear mass density that varies linearly from λ0\lambda_0 at one end to 3λ03\lambda_0 at the other. What is the position of the center of mass, measured from the lighter end of the rod?

A

At 12L\frac{1}{2}L from the lighter end

B

At 34L\frac{3}{4}L from the lighter end

C

At 712L\frac{7}{12}L from the lighter end

D

At 23L\frac{2}{3}L from the lighter end

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