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Shown in the figure is a system of three...

Shown in the figure is a system of three particles of mass `1 kg, 2 kg` and `4 kg` connected by two springs. The acceleration of `A. B` and `C` at any instant are `1 ms^(-2), 2 ms^(-2)` and `1//2 ms^(-2)` respectively directed as shown in the figure external force acting on the system is

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