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Position of the centre of mass of particles placed along a line

This type of question, asked 2 times: 17 Apr 2026 S1, 19 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    17 Apr 2026 S1

    104
    Three identical spheres, each of mass 'm' kg, are kept as shown in the figure, touching each other, with their centers on a straight line. If their centers are marked as A, B, C respectively, the distance of center of mass of the system from A is

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  2. Question 2

    19 Apr 2026 S2

    106
    Two particles of masses 2 g and 4 g are situated at the opposite ends, A and B of a wooden bar respectively. Let l(AB)=9l(AB) = 9 cm. The center of mass of the system will be

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