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A solid cylinder of height h and mass m ...

A solid cylinder of height h and mass m floats in a liquid of density `rho` such that three fourth of its height is immersed. Now, the cylinder is released inside a liquid of density `(rho)/(4)`, contained in a downward accelerated vessel. Find the magnitude of acceleration of vessel A, for which cylinder sinks with relative acceleration of `(A)/(3)` w.r.t. vessel.

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`(2g)/(3)`
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