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A system of two blocks is placed on a ro...

A system of two blocks is placed on a rought horizontal surface as shown in figure below The coefficient of staic and kinetic friction at two surfaces are shown A force F is horizontal applied on the upper block as shown .Let `f_(1) ,f_(2)` represent the frictional force between upper and lower surface of contact respectively and `a_(1),a_(2)` represent the acceleration of `3kg and 2kg` block respectively

For relative motion to be there between two blocks the minimum value of F should be

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