Physics · 2019
JEE Main · 8 April 2019, Shift 1 · Q3
Four particles A, B, C and D with masses m_A = m, m_B =2 m, m_C =3 m and m_D =4 m are at the corners of a square. They have accelerations of equal…
Four particles A, B, C and D with masses $\displaystyle \mathrm{m}_{\mathrm{A}}=\mathrm{m}, \mathrm{m}_{\mathrm{B}}=2 \mathrm{~m}, \mathrm{~m}_{\mathrm{C}}=3 \mathrm{~m}$ and $\displaystyle \mathrm{m}_{\mathrm{D}}=4 \mathrm{~m}$ 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 :

Official answer
(4)
$\displaystyle \frac{\mathrm{a}}{5}(\hat{i}-\hat{j})$
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JEE Main 2019 Physics question, with the answer from NTA’s final answer key. Where our answers come from.