A ship 150m long is floating upright on an even keel. When a weight already on board is shifted aft, it causes the ship’s centre of gravity to shift 0.2m horizontally and the trim to change by 0.15m. Find the longitudinal metacentric height.

A ship 150m long is floating upright on an even keel. When a weight already on board is shifted aft, it causes the ship’s centre of gravity to shift 0.2m horizontally and the trim to change by 0.15m. Find the longitudinal metacentric height.

Reference: Ship Stability for Masters & Mates (6^th edition), Exercise – 16.24

 

Solution:

GM_L/GG₁ = L/t

=> GM_L/0.2 = 150/0.15

=> GM_L = 200 m