Question

A wooden cube of length $l$ and density a floats in a liquid of density $p(>a)$. If the liquid moves with an acceleration in steady state, find the
(a) Net hydrostatic force acting on the cube
(b) Angle of inclination of the cube with horizontal

Answer 1

$\left(i\right)F=N=mg\cos \theta$

where $\theta ={\cos }^{-1}\left(\frac{g}{\sqrt{a^2+g^2}}\right)$

$\left(ii\right)\tan \theta =\frac{a}{g}\therefore \theta ={\tan }^{-1}\left(\frac{a}{g}\right)$