Four particle of equal mass are moving round a circle of radius r due to their mutual gravitational attraction. Find the angular velocity of each particles.
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Since the four particles are moving on the circular path only as a result of each other’s gravitation, it indicates that the net pull on any particle must be acting through the centre of the circle. Such a situation can only occur if the four particles are at the vertices of a square. The four vertices of the square are on the circle
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