# GATE2017 ME-2: 16

For the stability of a floating body the

1. Centre of buoyancy must coincide with the centre of gravity.
2. Centre of buoyancy must be above the centre of gravity.
3. Centre of gravity must be above the centre of buoyancy.
4. Metacentre must be above the centre of gravity.

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## Related questions

For the laminar flow of water over a sphere, the drag coefficient $C_{F}$ is defined as $C_{F}=F/(\rho U^{2} D^{2})$, where $F$ is the drag force, $\rho$ is the fluid density, $U$ is the fluid velocity and $D$ is the diameter of the sphere. ... $0.5$. If water now flows over another sphere of diameter $200$ mm under dynamically similar conditions, the drag force (in N) on this sphere is ________.
A $60$ mm-diameter water jet strikes a plate containing a hole of $40$ mm diameter as shown in the figure. Part of the jet passes through the hole horizontally and the remaining is deflected vertically. The density of water is $1000 kg/m^{3}$. If velocities are as indicated in the figure, the magnitude of horizontal force (in N) required to hold the plate is _________.
The arrangement shown in the figure measures the velocity $V$ of a gas of density $1 kg/m^{3}$ flowing through a pipe. The acceleration due to gravity is $9.81 m/s^{2}$. If the manometric fluid is water (density $1000 \: kg/m^{3}$) and the velocity $V$ is $20 m/s$, the differential head $h$ (in mm) between the two arms of the manometer is __________.
Consider a laminar flow at zero incidence over a flat plate. The shear stress at the wall is denoted by $\tau _{w}$. The axial positions $x_{1}$ and $x_{2}$ on the plate are measured from the leading edge in the direction of flow. If $x_{2} > x_{1}$ ... $\tau _{w}\mid _{x_{1}} < \tau _{w}\mid _{x_{2}}$