The force at the pivot of a simple pendulum and the acceleration of the bob have been the subject of a number of papers. The present paper extends this analysis to a compound pendulum, which requires an extra torque to rotate the pendulum about its center of mass. The dependence of the pivot force on κ = k/a, the ratio of the radius of gyration k to the center of mass position a, is investigated. The pivot force on an ideal compound pendulum is shown to be the same as that for a lighter simple pendulum plus a mass located at the pivot.

中文翻译：

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复合摆枢轴力

简单摆的枢转力和摆锤的加速度已成为许多论文的主题。本文将这种分析扩展到复合摆，这需要额外的扭矩才能使摆绕其质心旋转。研究了回转力对κ = k / a（回转半径k与质心位置a的比）的依赖性。理想的复合摆上的枢轴力显示为与较轻的简单摆加上位于枢轴上的质量相同。