Three particles of msses 1.0 kg 2.0 kg and 3.0 kg are placed at the corners A,B and C respectively of an equilateral triangle ABC of edge 1m. Locate the centre ofmass of the system.

Explanation

To locate the center of mass of the system of three particles placed at the corners of an equilateral triangle, we can follow these steps:

### Step 1: Define the Coordinates of the Particles
We have three particles with the following masses and positions:
- Particle A (mass = 1.0 kg) at coordinates (0.5, \( \frac{\sqrt{3}}{2} \))
- Particle B (mass = 2.0 kg) at coordinates (0, 0)
- Particle C (mass = 3.0 kg) at coordinates (1, 0)

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