Exercise $2$

A vessel, which before grounding has a draft of $dF=4,95$ and $dA=5,15$ runs aground and and the uprise of the foreship ${?}_{}dF=60cm.$ There are no leaks in the ship.

How many tonnes of cargo must be discharged from cargohold nr$.1$ with center of gravity $29,75$ meters fore of $\frac{L}{2}($amidships$)$ if the waterballasttank nr $4$ with center of gravity $14,30$ meters aft of L$/2($amidships$)$ is filled with water? The tank has a capacity of $50,0$ tonnes.

Following values are valid for the actual mean draft:

MCT $=33,4$ meter$*$ tonnes $\frac{?}{cm}$ and TPC $=8,3$ tonnes $\frac{?}{cm}.$