A non–uniform thin rod of length L is placed along x-axis as such its one of ends at the origin. The linear mass density of rod is `lambda=lambda_(0)x`. The distance of centre of mass of rod from the origin is :

Explanation

To find the distance of the center of mass of a non-uniform thin rod with a linear mass density given by \(\lambda = \lambda_0 x\), we can follow these steps:

### Step 1: Define the linear mass density
The linear mass density of the rod is given as:
\[ \lambda = \lambda_0 x \]
where \(\lambda_0\) is a constant and \(x\) is the position along the rod.
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