Fluid MechanicsHard

Question

A narrow tube completely filled with a liquid is lying on a series of cylinders as shown in figure. Assuming no sliding between any surfaces, the value of acceleration of the cylinders for which liquid will not come out of the tube from anywhere is given by

Options

A.
B.
C.
D.

Solution

No sliding     ⇒     pure rolling
Therefore, acceleration of the tube = 2a (since COM of cylinders are moving at)

PA = Patm + ρ(2a) L            (From horizontal limb)
Also ;  PA = Patm + ρ g H      (From vertical limb)
       Ans.

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