Three equal masses of m kg each are placed at the vertices...

Three equal masses of $\mathrm{m} \mathrm{kg}$ each are placed at the vertices of an equilateral triangle $\mathrm{PQR}$ and a mass of $2 \mathrm{~m} \mathrm{~kg}$ is placed at the centroid 0 of the triangle which is at a distance of $\sqrt{2} \mathrm{~m}$ from each of vertices of triangle. The force in newton acting on the mass $2 \mathrm{~m}$ is $=\ldots \ldots \ldots$.. (A) 2 (B) 1 (C) $\sqrt{2}$ (D) zero

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Key Concepts

Newton's Law of Universal Gravitation

This law states that every mass attracts every other mass in the universe with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers. It is a fundamental principle used to calculate the magnitude and direction of forces in gravitational systems.

Superposition Principle

In physics, when multiple forces act on a single object, the net force is the vector sum of the individual forces. This principle allows one to determine the overall effect on a body by considering each contributing force separately and then combining them.

Symmetry in Force Distribution

Symmetry in a physical configuration can lead to cancellation effects in the net force on an object. When forces are arranged symmetrically around a point, such as in evenly spaced masses around the centroid of a triangle, their contributions can cancel each other out, resulting in zero net force.

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