ATPL Mass and Balance formulas

MASS AND BALANCE New Total Moment=Old Total Moment + or –Load Shift New Total Moment=Old Total Moment- Load Removal CG=total moment / total mass Total Moment=total mass x CG New Moment=Old Moment+Added Mass Moment or – if load Removed moment New Mass X New Distance= Old Mass X Old Distance+Added Mass X Distance of this mass – Removed mass X Distance of this mass m/M=d/D m=mass to be moved M=Total mass d:distance the cg will move D:distance the mass m is moved Arm=Moment / Force Force=mass x acceleration of gravity Moment=Force x arm Moment=mass x g x arm Formulas for Calculating CG Shift: Adding Mass: Mass Change / New Total Mass = Change of CG / Distance from Mass to Old CG Removing Mass: Mass Change / Old Total Mass = Change of CG / Distance from Mass to New CG Moving Mass: Mass Change / Total Mass = Change of CG / Distance Moved

VsNew=VsOld x √NewWeight/Old Weight Floor Loading =Total Mass/Surface Area Surface Area= D xD CG=length of MAC % + Distance from ref point