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: Understand the Problem
We have a square plate of edge length \( d \) and a circular disc with a diameter \( d \). The disc is placed touching the square plate at the midpoint of one of its edges. We need to find the center of mass of this combination, assuming both have the same mass per unit area.

### Step 2: Define Masses
Let the mass per unit area of both the square plate and the circular disc be \( \sigma \).

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