A container of large uniform cross-sectional area A resting on a horizontal surface
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A uniform solid cylinder of density 0.8g/cm^3 floats in equilibrium in a combination of two non-mixing liquids A and B with its axis vertical. The densities of the liquids A and B are 0.7g/cm^3 and 1.2g/cm^3, respectively. The height of liquid A is hA=1.2cm. The length of the part of the cylinder immersed in liquid B is hB=0.8cm. (a) Find the total force exerted by liquid A on the cylinder. (b) Find h, the length of the part of the cylinder in air. (c) The cylinder is depressed in such a way that its top surface is just below the upper surface of liquid A and is then released. Find the acceleration of the cylinder immediately after it is released.
28
Aug
A uniform solid cylinder of density 0.8g/cm^3 floats in equilibrium in a combination of two non-mixing liquids A and B with its axis vertical. The densities of the liquids A and B are 0.7g/cm^3 and 1.2g/cm^3, respectively. The height of liquid A is hA=1.2cm. The length of the part of the cylinder immersed in liquid [...]
A container of large uniform cross-sectional area A resting on a horizontal surface, holds, two immiscible, non-viscous and incompressible liquids of densities d and 2d each of height H/2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P 0 .A homogeneous solid cylinder of length L(L<H/2), cross-sectional area A/5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L/4 in the denser liquid. The cylinder is then removed and the original arrangement is restored. A tiny hole of area s(s<<A) is punched on the vertical side of the container at a height h(h<H/2). As a result of this, liquid starts flowing out of the hole with a range x on the horizontal surface. The horizontal distance traveled by the liquid, initially, is :
28
Aug
A container of large uniform cross-sectional area A resting on a horizontal surface, holds, two immiscible, non-viscous and incompressible liquids of densities d and 2d each of height H/2 as shown in the figure. The lower density liquid is open to the atmosphere having pressure P 0 .A homogeneous solid cylinder of length L(L<H/2), [...]