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Interweaving the Principle of Least Potential Energy in School and Introductory University Physics Courses

机译:在学校和入门大学物理课程中交织最小势能原理

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Understanding advanced physical phenomena such as vertically hanging elastic column, soap bubbles, crystals and cracks demands expressing and manipulating a system’s potential energy under equilibrium conditions. However, students at schools and universities are usually required to consider the forces acting on a system under equilibrium conditions, rather than taking into account its potential energy. As a result, they find it difficult to express the system’s potential energy and use it for calculations when they do need to do so. The principle of least potential energy is a powerful idea for solving static equilibrium physics problems in various fields such as hydrostatics, mechanics, and electrostatics. In the current essay, the authors describe this principle and provide examples where students can apply it. For each problem, the authors provide both the force consideration solution approach and the energy consideration solution approach.
机译:要了解高级物理现象,例如垂直悬挂的弹性柱,肥皂泡,晶体和裂缝,需要表达和操纵系统在平衡条件下的势能。但是,学校和大学的学生通常需要考虑平衡条件下作用在系统上的力,而不要考虑其势能。结果,他们发现很难表达系统的势能,并在需要时将其用于计算。最小势能原理是解决静液压力学,静力学和静电学等各个领域的静态平衡物理问题的有力思想。在本文中,作者描述了这一原理,并提供了示例供学生应用。对于每个问题,作者都提供了考虑力的方法和考虑能量的方法。

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