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A thin uniform rod AB of mass ‘m’ translates with an acceleration ‘a’, when two anti parallel forces F1 and F2 act

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A thin uniform rod AB of mass ‘m’ translates with an acceleration ‘a’, when two anti parallel forces F1 and F2 act on it as shown in figure. If the distance between F1 and F2 is ‘b’, the length of the bar is _

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As Rod is in linear motion only (there’s no rotation of the rod), Net torque about COM must be zero.

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