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Question

Physics Question on Centre of mass

Four identical particles each of mass ''m'' are arranged at the corners of a square of side length ''L''. If one of the masses is doubled, the shift in the centre of mass of the system. w.r.t. diagonally opposite mass

A

L2\frac{L}{\sqrt2}

B

32L5\frac{3\sqrt2L}{5}

C

L42\frac{L}{4\sqrt2}

D

l6\frac{l}{6}

Answer

l6\frac{l}{6}

Explanation

Solution

Shift = m×L25m\frac{ m \times \frac{L}{\sqrt{2}}}{5m}