## 云聊"力"为何物

*合肥姜水动态力学实验技术有限公司,合肥 230031

**暨南大学力学与建筑工程学院,"重大灾害与控制"教育部重点实验室,广州 510632

††香港科技大学机械与航空航天工程系,中国香港

Received: 2020-05-9   Revised: 2020-07-27   Online: 2021-02-08

## 1 关于力的定义

$\begin{eqnarray} \label{eq1} {F}=\frac{\rm d}{{\rm d}t}\left( m{v} \right) \end{eqnarray}$

$\begin{eqnarray} \label{eq2} {F}=m{a} \end{eqnarray}$

### 图1

$\begin{eqnarray} \label{eq3} \frac{\rm d}{{\rm d}s}\left( \frac{1}{2}mv^{2}\right)=F\ \ \mbox{或者}\ \ F=\frac{\rm d}{{\rm d}{s}}\left(\frac{1}{2}m{ v}\cdot {v}\right) \end{eqnarray}$

$\begin{eqnarray} \label{eq4} &&{F}=\frac{\rm d}{{\rm d}t}\left( m{v} \right)=\frac{\rm d}{{\rm d}{s}}\left( m{ v} \right)\cdot \frac{{\rm d}{s}}{{\rm d}t}=\\&&\qquad \frac{\rm d}{{\rm d}{s}}\left( m{v} \right)\cdot {v}=\frac{\rm d}{{\rm d}{s}}\left( \frac{1}{2}mv^{2} \right) \end{eqnarray}$

## 2 力的标定与测量

### 图3

$k=\frac{4 \pi^{2}m}{T^{2}}$

## 参考文献 原文顺序 文献年度倒序 文中引用次数倒序 被引期刊影响因子

Qian Lingxi. Encyclopedia of China $\cdot$ Mechanics, 1st Edition. Beijing: China Encyclopedia Press, 1985 (in Chinese)

Newton I, Cajori F, Motte A. Principia, Vol.1: the Motion of Bodies. California: University of California Press, 1966

Garber D. Leibniz, Newton and force//Janiak A, Schliesser E, Eds. Interpreting Newton, Critical Essays. Cambridge: Cambridge Press, 2012

Iltis C.

Leibniz and the Vis Viva controversy

Isis, 1971,62(1):21-35

Atwood machine. https://en.wikipedia.org/wiki/Atwood_machine

Cavendish H. Experiments to Determine the Density of the Earth//MacKenzie AS, ed. Scientific Memoirs Vol.9: The Laws of Gravitation. New York: American Book Co., 1900

Coulomb CA. Premier mémoire sur l'électricité et le magnétisme. Histoire de l'Académie Royale des Sciences. Imprimerie Royale, 1785

Coulomb CA. Recherches théoriques et expérimentales sur la force de torsion et sur l'élasticité des fils de metal (Theoretical research and experimentation on torsion and the elasticity of metal wire)//Keithley JF. The Story of Electrical and Magnetic Measurements: From 500 BC to the 1940s. Chap 9, The First Quantitative Measurements of Electricity, Charles Augustin Coulomb (1736-1806). IEEE Press, 1999

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