Calculate the gravitational field and gravitational potential at the centroid of a triangle when three equal masses one placed at each of its corners.

Explanation

To solve the problem of calculating the gravitational field and gravitational potential at the centroid of an equilateral triangle with equal masses at each vertex, we can follow these steps:

### Step 1: Understand the Geometry of the Triangle
- We have an equilateral triangle with vertices A, B, and C, each having a mass \( m \).
- The centroid (G) of the triangle is the point where the three medians intersect.

**Hint:** Remember that the centroid divides each median in a 2:1 ratio.

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