Three equal masses of $$m$$ kg each are fixed at the vertices of an equilateral triangle $$ABC.$$ What is the force acting on a mass $$2m$$ placed at the centroid $$G$$ of the triangle
(
Take $$AG=BG=CG=1$$ m.)

1. $$Gm^2(\hat{i}+\hat{j})$$
2. $$Gm^2(\hat{i}-\hat{j})$$
3. zero
4. $$2Gm^2(\hat{i}+\hat{j})$$

Subtopic:  Newton's Law of Gravitation |
82%
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints
To view explanation, please take trial in the course.
NEET 2025 - Target Batch

Three equal masses of m kg each are fixed at the vertices of an equilateral triangle ABC. What is the force acting on a mass 2m placed at the centroid G of the triangle if the mass at the vertex A is doubled? Take AG = BG = CG = 1 m.

1.   $$Gm^{2} \left(\hat{i} + \hat{j}\right)$$

2.   $$Gm^{2} \left(\hat{i} - \hat{j}\right)$$

3.   0

4.   $$2Gm^{2} \hat{j}$$

$\stackrel{}{}$

Subtopic:  Newton's Law of Gravitation |
From NCERT
To view explanation, please take trial in the course.
NEET 2025 - Target Batch
Hints