A square plate of edge d and a circular disc of diameter d are placed toucing ech other at the midpoint of san edge of th plate as shown in figure. Locate the centre of mass of the combination assuming same mass per unit area for the two plates.

Explanation

To locate the center of mass of the combination of a square plate and a circular disc, we can follow these steps:

### Step 1: Define the Geometry
- We have a square plate of edge length \( d \) and a circular disc with a diameter \( d \) placed such that it touches the midpoint of one edge of the square plate.
- The square plate can be positioned such that its bottom left corner is at the origin (0,0) and its center is at \( \left( \frac{d}{2}, \frac{d}{2} \right) \).
- The circular disc, touching the midpoint of the square plate's edge, has its center at \( \left( \frac{d}{2}, 0 \right) \).

### Step 2: Calculate the Areas
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