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The linear density of a thin rod of leng...

The linear density of a thin rod of length 1m lies as `lambda = (1+2x)`, where x is the distance from its one end. Find the distance of its center of mass from this end.

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To find the center of mass of a thin rod with a varying linear density, we can follow these steps: ### Step 1: Define the linear density The linear density of the rod is given as: \[ \lambda(x) = 1 + 2x \] where \( x \) is the distance from one end of the rod. ...
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