Creating Teaching Materials for Lagrange's Equation of Motion

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  • ラグランジュの運動方程式の教材化
  • ラグランジュ ノ ウンドウ ホウテイシキ ノ キョウザイカ

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In learning about mechanical motion and vibration problems, the first important thing for learners is to generate an equation of motion. In general, Newton's second law is used to find the equation of motion, but Lagrange's equation of motion is used for multi-degree-of-freedom problems and complex dynamical systems. The latter equation is a convenient formula that can derive the equation of motion mechanically after obtaining all energies of the system. However, Lagrange's equation of motion is difficult to understand for many learners. The reason seems to be that general textbooks focus on the derivation of Lagrange's equation of motion and there are few explanations as tools. In consideration of the above circumstances, this study reports the creation of teaching materials for using Lagrange's equation of motion as a tool. Specific examples from relatively easy problems to slightly more complicated problems are also introduced.

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