. Cassier's magazine . FIG. 0. METACENTRIC DIAGRAM grain or coal the surface will notchange until such an angle of inclina-tion is reached corresponding to theangle of repose of the mobile cargo,after which the particles at the sur-face will slide over each other, tend-ing to heap themselves up on thatside towards the direction of rolling. The consideration of this free orexposed surface is, therefore, one ofgreat importance as affecting the wellbeing of the ship, but the resultanteffect of a change of surface is notso much due to the quantity or weight of the mass moved as to the extentof cha
. Cassier's magazine . FIG. 0. METACENTRIC DIAGRAM grain or coal the surface will notchange until such an angle of inclina-tion is reached corresponding to theangle of repose of the mobile cargo,after which the particles at the sur-face will slide over each other, tend-ing to heap themselves up on thatside towards the direction of rolling. The consideration of this free orexposed surface is, therefore, one ofgreat importance as affecting the wellbeing of the ship, but the resultanteffect of a change of surface is notso much due to the quantity or weight of the mass moved as to the extentof change of surface. It has been seen that the value ofB M or the distance between the cen-tre of buoyancy and the metacentredepended on the moment of inertiaof water plane area directly and thevolume of displaced water inversely,and was represented bv the expres- sion C —. So in a similar manner, D—Fig. 7—with regard to a fluid ormobile cargo, the point of intersec- 368 CASSIERS MAGAZINE. FIG. 7. ACTION OF MOBILE CARGO tion of the line of action of its weightfor any small angle of inclination,with the initial line of action will besituated above the centre of gravityof the fluid body at a distance given B2by a similar expression, C1 — where B1 is now the breadth of the freefluid surface and Dx the depth of thefluid, i. e., this distance will be chieflygoverned by the breadth squared ofthe free water surface, and thegreater the variation in this height, thegreater will be the lateral movementof the line of action of the weight ofthe fluid body, and as the force actsin the downward direction, this lateralmovement always sets up a tendencyto reduce the righting power of the
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