Two methods have been devised for making shipboard scales which can be used on a swaying base: the first is to use two simple levers and the second is to employ several levers which are connected mechanically by rods or flat springs.
In this paper, the statics of complex lever systems is dealt with theoretically. A quantity κi is introduced and defined by the equation
φi=κiφ
where φi is the tilt angle of the i-th lever when the standard lever deviates through the angle φ, κ represents the “tilt angle coefficient of the lever” or briefly “lever coefficient”.
By employing κ, the complex lever system can be treated as if it contained only one lever. Then several conditions can be derived for the case of mass weighing on an inclined plane, i.e., “slopeproof conditions”.
In the following paper, experimental results which agree well with the above theory will be presented.