$(35$ points$)$ A General Cargo vessel, preparing for entering a floating dry dock, ballasts the forward Double Bottom and Deep tanks until she has her trim by the stern reduced to $3\mathrm{.}24m$ with a mean draft of $4\mathrm{.}42m.$ Her dimensions and other characteristics are as given below. The floating drydock can be given a $1\mathrm{.}5m$ trim by the stern to ease the docking loads imposed on the vessel. The vessel's initial landing point is located $97\mathrm{.}5m$ aft of midship. Determine:

a$)$ the trimming moment developed during the drydocking,

b$)$ the maximum potential force on the vessel's bottom structure just before full landing on the keel docking blocks?

c$)$ the vertical lift given the vessel, as it becomes fully landed and the vessel's drafts

d$)$ forvard and aft when it has become fully landed on the docking blocks? Maintain mm accuracy in your calculations.

Given: $,LBP=208\mathrm{.}5m.LCF=-8\mathrm{.}36m$;$LCB=-3\mathrm{.}68m$;$TPCM=65\mathrm{.}3$;$MTCM=443\mathrm{.}5$