Answer Happy

CALCULATION a. Stability of Floating Bodies mx GN Mtan BN where Lb3 12 GN = BN - BG Check by calculation:

N CG I CB 02 I Lb3 BN=-= V 12V GN = BN - BG *-(y-) Where: m adjustable/movable mass M mass of the assembly = angle of heel N = metacenter CG = center of gravity CB = center of buoyancy d depth of immersion distance of the center of gravity from the base of the pontoon y =

STABILITY OF FLOATING BODIES 19mm Dimension of pontoon; Length L: _350mm Breadth B: 200mm Movable mass, m: __290g_ Mass of assembled pontoon, M: Position of CG of assembled pontoon from base, y: _315mm Depth d: 1474_ Table 5.1 Stability of Floating Bodies Distance of moveable Angle or Metacentric heel mass right of Height GN (0) mx center, x degrees M tane (mm) 10mm 2 20mm 3.5 Distance of moveable mass left of center, (mm) 10mm 20mm Angle or heel (0) Metacentric Height GN mx M tane 2 3.5

30 40 50 60 6.5 8 9.5 30 40 50 60 5 6.5 8 9.5 Plot GN against and read GN when 0 = 0 (initial metacentric height) Metacentric Height 14 12 10 8 angle 6 4 N 2 0 . 0 0 10 20 30 60 70 80 90 40 50 Metacentric Height, GN