Question

# Four particles A, B, C and D having masses m, 2m, 3m and 4m respectively are placed in order at the corners of a square of side a. Locate the centre of mass

A

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B

,

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C

,

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D

None of these

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Solution

## The correct option is B , Take the axes as shown in figure. The coordinates of the four particles are as follows: Particlemassx−coordinatey−coordinateAm00B2ma0C3maaD4m0a Hence, the coordinates of the centre of mass of the four-particle system are x = m.0 + 2ma + 3ma + 4m.0m + 2m + 3m + 4m = a2y = m.0 + 2m.0 + 3ma + 4mam + 2m + 3m + 4m = 7a10 The centre of mass is at (a2,7a10).

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