JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

The centre of mass of a system of three particles of masses 1 g, 2 g and 3 g is taken as the origin of a coordinate system. The position vector of a fourth particle of mass 4 g such that the centre of mass of the four-particle system lies at the point is , where is a constant. The value of is

Answer: (C)

Solution

With the first three particles' CM at the origin (total mass 6 g),

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Question ID VK-158882