A non-uniform thin rod of length \( L \) is placed along \( X \)-axis so that one of its ends is...

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A non-uniform thin rod of length \( L \) is placed along \( X \)-axis so that one of its ends is at the origin. The linear mass density of rod is \( \lambda=\lambda_{0} x \). The centre of mass of rod divides the length of the rod in the ratio :
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