Classical Mechanics

所在平台: Udemy

课程主页: https://www.udemy.com/course/classical-mechanics-x/

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课程名称:经典力学 课程概述:本课程旨在介绍支配我们自然世界的基本法律和原理,是物理学与工程学课程中的基础性课程。经典力学研究物体在力的作用下的运动,是我们理解物理世界的基石。课程内容覆盖从简单的自由落体和摆动到复杂的行星轨道和旋转刚体的运动原理,适合物理、工程、数学等相关专业的学生。掌握经典力学不仅有助于定量理解周围的世界,还能提升批判思维、复杂问题解决能力和将数学工具应用于物理情境的能力。 经典力学,亦称牛顿力学或伽利略力学,是自然界的首个综合理论,促进了多种技术进步,并为热力学、电磁学、量子力学及相对论的发展奠定基础。尽管现代物理已经超越了经典力学的局限,经典理论依然对日常和工程问题有效和有用。 课程目标:本课程提供了经典力学的概念基础,从伽利略、牛顿和笛卡尔的早期思想到现代非线性确定性混沌理论。课程主题包括: 1. 运动学 - 描述运动而不考虑其原因,涵盖位置、速度和加速度。 2. 牛顿运动定律 - 描述力如何引起运动变化的动态基础。 3. 功、能和功率 - 包括动能、势能和功-能定理的分析。 4. 动量、碰撞和质心 - 利用线动量及动量守恒分析物体间的相互作用。 5. 倾斜面物理 - 分析重力对沿倾斜面物体的作用。 6. 旋转运动 - 涉及角速度、角加速度、角动量等。 7. 刚体动力学 - 讨论旋转和移动同时发生的扩展物体的运动。 8. 振动 - 简谐运动和简摆结合波动介绍。 9. 引力 - 讨论牛顿的万有引力定律和开普勒行星运动定律。 10. 非线性动力学 - 讨论非线性动力学及其哲学意义。 适合人群:本课程为那些在从中学物理到专业课程的过渡中遇到困难的学生设计,旨在提供一个有效的桥梁。该课程也适合希望深入学习物理、工程、生物、化学等领域的本科生和研究生,或对科学哲学感兴趣的自学者。对计划学习量子物理的学生,本课程也作为另一门相关课程的良好预备。 通过本课程,学生将能够使用理想化模型对真实物理系统进行建模,分析机械系统,建立物理现象的直觉,并欣赏经典力学的预测能力。

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Note: Take a look at the free lectures! Scroll up to "Course content" and click on "Expand all sections." The "preview" lectures are free. That might help you to get a better feeling of what's about.What is this course about? It is a foundational course designed to introduce you to the fundamental laws and principles that govern the natural world as we experience it on human scales. Classical mechanics is one of the most fundamental and essential courses in a physics or engineering curriculum. It is the study of the motion of bodies under the influence of forces, and it forms the bedrock of our understanding of the physical world. This course explores how and why objects move-from simple systems like falling bodies and swinging pendulums to more complex ones like planetary orbits and rotating rigid bodies. Whether you are majoring in physics, engineering, mathematics, or a related discipline, a solid grasp of classical mechanics is crucial. This subject not only helps you understand the world around you in quantitative terms, but it also develops your ability to think critically, solve complex problems, and apply mathematical tools to physical situations. Classical mechanics, sometimes referred to as Newtonian or Galilean Mechanics, was the first comprehensive theory of nature. Developed during the 17th and 18th centuries, it provided the framework that led to many technological advancements and laid the groundwork for subsequent developments in thermodynamics, electromagnetism, quantum mechanics, and relativity. Even though modern physics has extended our understanding beyond the limits of classical mechanics, the classical theory remains highly accurate and useful for a wide range of everyday and engineering problems.Why this course? Despite being centuries old, classical mechanics continues to be deeply relevant. For one, the vast majority of systems we encounter in everyday life-cars, machines, buildings, sports, weather patterns-are well described by classical mechanics. Engineers designing bridges, aircraft, and mechanical devices still rely on Newton's laws and related principles for accurate predictions and designs. Moreover, classical mechanics is a gateway to advanced physics. It introduces students to crucial ideas like conservation laws, symmetry, reference frames, and mathematical modeling. These are foundational not just in physics but also in applied mathematics, computer science, and other STEM disciplines. The intellectual rigor of classical mechanics also sharpens your analytical thinking and problem-solving abilities. These skills are universally valuable-whether you're troubleshooting a malfunctioning device, modeling financial systems, or simply understanding how the world works. Finally, classical mechanics offers aesthetic and philosophical rewards. There is a deep beauty in the way the universe follows precise and elegant laws. Classical Mechanics is more than just an academic requirement-it is a journey into understanding how the universe works on a fundamental level. You will find great satisfaction in discovering how a small set of principles can explain a vast range of phenomena, from a spinning top to the motion of planets. Whether you are fascinated by the elegance of planetary motion, curious about the mechanics behind machines, or simply eager to develop strong analytical skills, this course will challenge and inspire you. By the end of this course, you will not only have a deeper understanding of the physical world but also a toolkit for approaching complex problems in any scientific or engineering context.However, most textbooks introduce the subject with extensive calculus rigor over hundreds of pages, while popular media often skips it altogether. This course, instead, takes a balanced approach, offering an intermediate-level and concise exploration of the topic. It presents the fundamentals in a conceptually rigorous manner, limiting the mathematical complexity and avoiding excessive detail. This course could serve as ideal introductory training, preparing you for a comprehensive university-level course.What you will learn. This is a course on the conceptual foundations of classical mechanics that spans from the early ideas introduced by Galileo, Newton, and Descartes to modern non-linear deterministic chaos theory. It begins with an overview of the birth of classical mechanics, a pivotal event in the history of modern science. The course covers the following topics: Kinematics - The description of motion without considering its causes. This includes the study of position, velocity, and acceleration in one, two, and three dimensions.Newton's Laws of Motion - The foundation of dynamics, these laws describe how forces cause changes in motion.Work, Energy, and Power - Concepts like kinetic energy, potential energy, and the work-energy theorem help us analyze systems in terms of energy conservation.Momentum, Collisions, and Center of Mass - Linear momentum, impulse, and the conservation of momentum are powerful tools for analyzing interactions between objects.The physics of the inclined Plane - You will learn how to analyze the components of gravitational force acting on an object along and perpendicular to the slope, allowing you to determine the object's acceleration, frictional forces, and net motion.Rotational Motion - This involves angular velocity, angular acceleration, angular acceleration, angular momentum, centripetal and centrifugal forces, torque, moment of inertia, rotational kinetic energy, and the rotational analogs of Newton's laws.Rigid Body Dynamics - Motion of extended objects that rotate and translate simultaneously, including moment of inertia and center of mass.Oscillations - Simple harmonic motion and the simple pendulum, with an introduction to waves.Gravitation - Newton's law of universal gravitation, orbital motion, and Kepler's laws of planetary motion.Non-linear dynamics - Concluding remarks on non-linear dynamics, the two and three-body problem, with a philosophical discussion on determinism and chaos.Overall, this course allows you to model real-world physical systems using idealizations like point masses and rigid bodies, analyze mechanical systems, build intuition for physical phenomena, and appreciate the predictive power of classical mechanics.Who is it for? This course is designed for students who struggle to transition from the intuitive approaches of middle and high school physical sciences to the more formal and rigorous concepts of a professional development course. It is neither a continuation of the former nor a full embrace of the latter, but rather a bridge between the two. This course aims to facilitate entry into undergraduate and graduate studies not only in physics but also in engineering, biology, chemistry, and any fields that require mandatory physics tests. Additionally, philosophers or self-learners interested in the philosophy of science, who lack formal instruction in this area, may benefit from this introductory course in classical mechanics as it provides a solid technical foundation. Furthermore, it serves as a good precursor for those who plan to enroll in my other Udemy course on quantum physics, titled "Quantum Physics: An Overview of a Weird World."

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