Pressure in a fluid-mechanical properties of fluids

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Question

In the given tube a liquid of density $ρ$ is filled. If the acceleration of the tube towards right direction such that no liquid will falls out of the tube is $\frac{η g}{5}$ . Find the value of $η$

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Solution

$A l o n g X a x i s = 5 l \cos 53 + l = 4 l A l o n g Y a x i s = 5 l \sin 53 = 4 l \tan θ = \frac{a}{g} - - - (1) \tan θ = \frac{4 l}{4 l} - - - (2) f r o m (1) & (2) w e g e t a = g$

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