QUESTION $3$

Consider the cylindrical buoy pictured below floating In sea water with density $=1025k\frac{g}{m}{L}^3.$

The dimensions and mass of the buoy are given in the table below.

The centre of gravity is located at the geometric centre of the buoy.

Table of dimensions

Buoy height $(H_1)$:$,2183mm$

Buoy diameter $(D)$:$,1294mm$

Buoy mass $(m)$:$,713kg$

Take the density of sea water as $1025k\frac{g}{m^3}.$

QUESTION $3($A$)$

Determine the submerged height of the buoy $($to the nearest $mm).$

Report your answer in $mm$ and use this rounded value in subsequent calculations.

The submerged height $(H_{\text{s}\text{u}\text{b}\text{m}\text{e}\text{r}\text{k}\text{e}\text{d}})=10mm$

QUESTION $3($B$)$

Determine the metacentric radius of the buoy in $mm.$

Report your answer in $mm$ and use this rounded value in subsequent calculations.

The metacritic radius $(r_{\text{m}\text{e}\text{t}\text{a}\text{c}\text{r}\text{i}\text{t}\text{i}\text{c}})=8mm$

QUESTION $3($C$)$

Is the buoy stable, unstable or in neutral equilibrium?

The equilibrium is

$8$

QUESTION $3$

Consider the cylindrical buoy pictured below floating in sea water with density $=1025k\frac{g}{m^3}.$

The dimensions and mass of the buoy are given in the table below.

The centre of gravity is located at the geometric centre of the buoy.

Table of dimensions

Buoy height $(H_1)$;

$2183mm$

Buoy diameter $(D)$

$1294mm$

Buoy mass $(m)$ :

$713kg$

Take the density of sea water as $1025k\frac{g}{m^3}.$