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MHT CET Physics question

PhysicsSystems of Particles and Rotational MotionMHT CET

Three point masses each of mass 'm' are kept at the corners of an equilateral triangle of side 'L'. The system rotates about the center of the triangle without any change in the separation of masses during rotation. The period of rotation is directly proportional to () [MHT-CET 2023, MHT-CET 2023]

Answer: (A)

Solution

Each mass moves on a circle of radius under the gravitational pull of the other two, net force , so

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Question ID VK-040855