Question

Three uniform spheres are placed at the vertices of an equilateral triangle. The sphere at vertex A has a mass m. The mass of each sphere at vertices B and C are known to be the same mass M. Let R be the distance from the centre of the triangle to one of the three vertices. (a) A fourth sphere is placed at the centre of the equilateral triangle It is known that the net force on the fourth sphere due to the first three spheres is zero. Express the mass of sphere B M in terms of m. (b) The mass of the sphere at vertex A is doubled. Express the acceleration of the fourth sphere in terms of m and R when the fourth sphere is released from the centre of the equilateral triangle

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