Classical Mechanics

Master the fundamental principles governing motion, forces, and energy in this comprehensive university-level course.

Physics illustration

Course Overview

Level

Advanced undergraduate course suitable for physics and engineering majors with calculus background.

Duration

12-week program with 4-6 hours of study per week, including lectures, problem sets, and labs.

Certification

Earn a verified certificate upon successful completion with a passing grade of 70% or higher.

Learning Objectives

Master Newtonian Mechanics

Understand and apply Newton's laws of motion to analyze systems of particles and rigid bodies.

Lagrangian Formalism

Develop proficiency in using Lagrangian mechanics to solve complex dynamical problems.

Conservation Laws

Apply conservation of energy, momentum, and angular momentum to analyze physical systems.

Central Force Motion

Solve problems involving orbital mechanics and central force potentials.

Oscillations

Analyze simple harmonic motion, damped oscillations, and forced oscillations.

Rigid Body Dynamics

Understand the motion of rigid bodies, including rotation about fixed and moving axes.

Course Curriculum

01
Week 1-2

Newtonian Mechanics Foundations

Newton's Laws of Motion

Inertial frames, force, mass, and acceleration

Work and Energy

Conservative forces, potential energy, energy conservation

Momentum

Linear momentum, impulse, collisions

Angular Momentum

Torque, rotational dynamics, conservation

02
Week 3-4

Oscillations and Central Forces

Simple Harmonic Motion

Differential equations, energy in SHM

Damped and Forced Oscillations

Resonance, quality factor, transient solutions

Central Force Motion

Effective potential, Kepler's laws

Orbital Mechanics

Two-body problem, scattering

03
Week 5-7

Lagrangian and Hamiltonian Mechanics

Calculus of Variations

Euler-Lagrange equation

Lagrangian Formulation

Generalized coordinates, constraints

Symmetries and Conservation

Noether's theorem

Hamiltonian Mechanics

Canonical equations, phase space

04
Week 8-10

Rigid Body Dynamics

Rotation About Fixed Axis

Moment of inertia, parallel axis theorem

General Motion of Rigid Bodies

Euler's equations, torque-free motion

Gyroscopic Motion

Precession, nutation

Non-inertial Reference Frames

Coriolis effect, centrifugal force

05
Week 11-12

Advanced Topics and Applications

Coupled Oscillations

Normal modes, beat phenomenon

Continuum Mechanics

Waves in elastic media

Chaos Theory

Nonlinear dynamics, phase portraits

Special Relativity

Galilean transformations, limits of classical mechanics

Meet Your Instructors

Dr. Sarah Chen

Dr. Sarah Chen

Professor of Theoretical Physics

Dr. Chen specializes in classical and quantum dynamics with over 15 years of teaching experience. Her research focuses on nonlinear dynamics and chaos theory.

Dr. James Rodriguez

Dr. James Rodriguez

Associate Professor of Applied Mechanics

With expertise in celestial mechanics and spacecraft dynamics, Dr. Rodriguez brings practical aerospace applications to classical mechanics concepts.

What Students Say

"The problem sets were challenging but extremely rewarding. Dr. Chen's explanations of Lagrangian mechanics were crystal clear."

Student

Emily Zhang

Physics Major, Class of 2023

"The virtual labs were surprisingly effective. I particularly enjoyed the orbital mechanics simulations - they made abstract concepts tangible."

Student

David Wilson

Aerospace Engineering, Class of 2024

"The instructors were always available for questions. The discussion forums were active with both students and professors participating."

Student

Priya Patel

Mechanical Engineering, Class of 2025

Ready to Master Classical Mechanics?

Join hundreds of students who have transformed their understanding of physics through this comprehensive course.

Enroll Now

Next session starts June 15, 2023

Made with DeepSite LogoDeepSite - 🧬 Remix