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Four particles A, B, C and D with masses m A = m, m B = 2m, m C = 3m and m D = 4m are at the corners of a square. They have accelerations of equal magnitude with directions as shown. The acceleration of the centre of mass of the particles is - a Y C a X D a a A B

1. Zero
2. a ( j ˆ i ˆ + )
3. 5 a ( j ˆ i ˆ − )
4. 5 a ( j ˆ i ˆ + )

Correct answer: 5 a ( j ˆ i ˆ − )

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