Four particles of masses 1kg, 2kg, 3kg and 4kg are placed at the four vertices A, B, C and D of a square of side 1m. Find the position of centre of mass of the particles. Assume that D is situated at the origin.

Explanation

To find the position of the center of mass of the four particles placed at the vertices of a square, we can follow these steps:

### Step 1: Identify the coordinates of the vertices and the masses
We have four particles with the following masses and coordinates:
- Mass \( m_A = 1 \, \text{kg} \) at vertex A (0, 1)
- Mass \( m_B = 2 \, \text{kg} \) at vertex B (1, 1)
- Mass \( m_C = 3 \, \text{kg} \) at vertex C (1, 0)
- Mass \( m_D = 4 \, \text{kg} \) at vertex D (0, 0)
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