The exterior of the horse . nter in orderto resolve particular cases would lead us too far away. In mechanics, the moment of a force in relation to an axis is the product of \the projection of this force upon a plane perpendicular to the axis, through thedistance of this force to the axis. When the idea of moment is applied to the study of the lever, it may be defined thus: The product,of the force by the arm 6f thelever, because the forces,Ijeing situated in the sameplane, are themselves theirprojection ; as to the axis,it is sui)posed to passthrough the point ofsupport. Suppose the two force
The exterior of the horse . nter in orderto resolve particular cases would lead us too far away. In mechanics, the moment of a force in relation to an axis is the product of \the projection of this force upon a plane perpendicular to the axis, through thedistance of this force to the axis. When the idea of moment is applied to the study of the lever, it may be defined thus: The product,of the force by the arm 6f thelever, because the forces,Ijeing situated in the sameplane, are themselves theirprojection ; as to the axis,it is sui)posed to passthrough the point ofsupport. Suppose the two forces Fand F inciting the lever AB(Fig. 4). The whole system issituated in the plane of the ac-tion. The forces then projectFig. 4. themselves following FA and FB. Let us suppose now anaxis perpendicular to this plane and piercing It at the point 0. It is evident that the distancesof these two forces to this axis are measured by the perpendiculars OCand OD. The momentof force F will be F < OC; that of the force F . F ? The perpendiculars OC and 01) are called lever-arms extending from thepoint of support in the direction of the forces i^and F\ Whence it results that in the lever the moment of a force is the product of that force by its lever-arm. It is demonstrated in the same manner that the lever is in equilibrium when the moments of the two forces are equal. We will therefore obtain : F y OC==Fy OD. THE I. EVER AM) MCSCCLAJi MECJIAMSM. 13 Whence is jiroilueed : ^ F C
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Keywords: ., bookcentury1800, bookdecade1890, booksubjecthorses, bookyear1892
