Determine the C.M. position of the rod of Fig. 7.6 in the case where the linear density

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Determine the C.M. position of the rod of Fig. 7.6 in the case where the linear density \(\lambda\) of the rod varies with length according to the relation \(\lambda(x)=\lambda_{0} \frac{x+L}{L}\).

 Fig. 7.6

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