Question

# All the particles of a body are situated at a distance R from the origin. The distance of the centre of mass of the body from the origin is (a) = R (b) ≤ R (c) > R (d) ≥ R

Solution

## (b) ≤ R Distance of the centre of mass from the origin is given by, Let half of the particles lie on +Y-axis and the rest of  the particles lie on +X-axis. Similarly, Therefore, the coordinates of centre of mass are $\left(\frac{R}{2},\frac{R}{2}\right)$. Distance of the centre of mass from the origin$=\frac{R}{\sqrt{2}}$    For the given situation,  $R\text{'}.            In general, R' ≤ R.PhysicsHC Verma - IStandard XI

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