For an object with the centre of mass at the origin, the x-coordinates of particles of the object _____(a) may be all positive(b) may be all negative(c) may be all non-negative(d) cannot be predictedThis question was addressed to me at a job interview.The origin of the question is System of Particles topic in portion System of Particles and Rotational Motion of Physics – Class 11

For an object with the centre of mass at the origin, the x-coordinates

1.	For an object with the centre of mass at the origin, the x-coordinates of particles of the object _____(a) may be all positive(b) may be all negative(c) may be all non-negative(d) cannot be predictedThis question was addressed to me at a job interview.The origin of the question is System of Particles topic in portion System of Particles and Rotational Motion of Physics – Class 11
Answer» CORRECT option is (C) may be all non-negative Easiest explanation: For an object to have the x-coordinate of its centre of MASS, there should be PARTICLES on both the negative and POSITIVE coordinates of the plane for the sum to be zero. However, for 1-dimensional particles that all lie on the y-axis symmetric about the x-axis, the x-coordinate is zero – which is neither positive nor negative, i.e., non-negative.

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