# Question No.5

Check the stability of the given floating unit.

### Given :

• Floating in water
• $G lies at 3 meters from the free surface$

### Solution :

$First, we should calculate the height of the immersed part of the unit h :$

$W=FB$

$64ton=γwAh$

$64=1∗(2∗2∗4)h$

Second , check the stability of the floating body :

$MG=IminVimmersed−GB$

$Vimmersed=Ah$

$GB=h2+3$

$Imin=minimum(Ix,Iy)$

$Since MG is negative, therefore the unit is unstable !$