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## 物理代写|理论力学作业代写Theoretical Mechanics代考|Fundamental Laws of Dynamics

Up to now we have restricted ourselves to describe the motion of a mass point without investigating the primary cause of the motion. From now on, the latter will be the focus of our considerations. The goal is to develop procedures by which one can derive the explicit movement of the mass point from a known driving cause.

We start with a few very general remarks concerning the challenges and possibilities of every physical theory; here, however, with the special perspective on Classical Mechanics. Like any physical theory mechanics also is based on definitions and theorems
The definitions are reasonably separated into basis definitions and following definitions:

By basis definitions we mean concepts like position, time, mass, …, which are no further commented on in the course of the theory. Following definitions are entities derived from the basis definitions such as velocity, acceleration, momentum,…. Analogously we have also to decompose the theorems:

Axioms are a matter of basic empirical facts which are mathematically not provable and will not be further justified within the theory. In the framework of Classical Mechanics these are ‘Newton’s axioms of motion’. By conclusions we understand the actual results of the physical theory. By use of the concept of the ‘mathematical proof’ they emerge out of the basis definitions and axioms which together are called the postulates of the theory.

The ‘ultimate judge’ of any physical theory is the experiment. The value of a theory is measured by the degree of agreement of its conclusions with the manifestations of nature. It is known today that Classical Mechanics is not able to correctly describe all movements and manifestations of the inanimate nature. In particular in atomic and subatomic regions modifications have become necessary. But one can regard Classical Mechanics as a self-consistent limiting case of a higher all-embracing theory, if it is finally found.

## 物理代写|理论力学作业代写Theoretical Mechanics代考|Inertial Systems, Galilean Transformation

Newton’s axioms deal with the motion of physical bodies. But motion is a relative term; the motion of a body can be defined only relative to a system of coordinates. However, regarding the choice of such systems of coordinates there are hardly any limits. Coordinate systems which are solely rigidly shifted or rigidly inclined to each other are completely equivalent with respect to the dynamics of the mass point. The components of the trajectory $\mathbf{r}(t)$ will of course change from system to system, but not the geometrical shape of the path or the temporal process of the particle motion.
If the different frames of reference are moving relatively to each other then of course the situation is different. A mass point which in a certain frame moves straight-line uniformly will experience an acceleration in another frame which is rotating relative to the first. Hence, Newton’s axioms make sense only if they are referred to a definite system of coordinates or, at least, to a definite class of systems.
The genuine coordinate systems of Classical Mechanics are the ‘inertial systems’, introduced by Axiom 2.1, in which a force-free mass point moves on a straight line with
$\mathbf{v}=$ const
We want to investigate these systems, which are obviously somehow highlighted, in a little more detail. For this purpose we study the forces which act on a mass point in two different systems of coordinates moving relative to each other. For simplicity we choose two Cartesian systems. In both systems the observer sits at the origin of coordinates.

# 理论力学代写

## 有限元方法代写

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## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

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