Locate the centre of mass of a system of three particles 1.0 kg, 2.0 kg and 3.0 kg placed at the corners of an equilateral traingular of side 1m.

Explanation

To locate the center of mass of a system of three particles (1.0 kg, 2.0 kg, and 3.0 kg) placed at the corners of an equilateral triangle with a side length of 1 meter, we can follow these steps:

### Step 1: Define the coordinates of the triangle vertices
Let's place the equilateral triangle in the Cartesian coordinate system. We can set the vertices as follows:
- Vertex A (1.0 kg) at coordinates \( (0.5, \frac{\sqrt{3}}{2}) \)
- Vertex B (2.0 kg) at coordinates \( (0, 0) \)
- Vertex C (3.0 kg) at coordinates \( (1, 0) \)

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