Theoretical Mechanics Fundamentals

Engineering

2024-01-20

Lessons List

Theoretical Mechanics Introduction Video

Lec 01 Introduction Constraints

Lec 02 Generalized Coordinates Configuration Space

Lec 03 Principle of Virtual Work

Lec 04 D Alembert s Principle

Lec 05 Lagrange s Equations

Lec 6 Hamilton s Principle

Lec 7 Variational Calculus Lagrange s Equations

Lec 8 Conservation Laws and Symmetries

Lec 9 Velocity Dependent Potentials Non holonomic Constraints

Lec 10 An Example Hoop on a ramp

Lec 11 Phase Space

Lec 12 Central Force Problem Constants of Motion

Lec 13 Classification of Orbits

Lec 14 Determining Orbits

Lec 15 Kepler Problem

Lec 16 Runge Lenz Vector Virial Theorem

Lec 17 Scattering I

Lec 18 Scattering II

Lec 19 Rigid Bodies and Generalised Coordinates

Lec 20 Rotations and Euler Angles

Lec 21 Rotating Frames

Lec 22 Instantaneous Angular Velocity

Lec 23 Moment of Inertia Tensor

Lec 24 Euler Equations

Lec 25 Heavy Symmetric Top

Lec 26 Legendre Transforms

Lec 27 Hamilton s Equations

Lec 28 Conservation Laws Routh s procedure

Lec 29 An Example Bead on Spinning Ring

Lec 30 Canonical Transformations

Lec 31 Symplectic Condition

Lec 32 Canonical Invariants Harmonic Oscillator

Lec 33 Poisson Bracket Formulation

Lec 34 Infinitesimal Canonical Transformations

Lec 35 Symmetry Groups of Mechanical Systems

Lec 36 Hamilton Jacobi Theory

Lec 37 Action Angle Variables

Lec 38 Separation of Variables and Examples

Lec 39 Small Oscillations

Lec 40 Coupled Oscillators

Lec 41 General Formalism

Lec 42 Double Pendulum

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Djamal Khelifi

Excellent course

2025-08-15

SYED RUKHSAR

It is a great course for physicists and physics teacher.

2025-01-23

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Theoretical Mechanics course in hindi, In this course we explore the foundational principles of mechanics, covering classical, relativistic, and quantum mechanics concepts.

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Theoretical Mechanics Fundamentals

Engineering

Theoretical Mechanics Introduction Video

Lec 01 Introduction Constraints

Lec 02 Generalized Coordinates Configuration Space

Lec 03 Principle of Virtual Work

Lec 04 D Alembert s Principle

Lec 05 Lagrange s Equations

Lec 6 Hamilton s Principle

Lec 7 Variational Calculus Lagrange s Equations

Lec 8 Conservation Laws and Symmetries

Lec 9 Velocity Dependent Potentials Non holonomic Constraints

Lec 10 An Example Hoop on a ramp

Lec 11 Phase Space

Lec 12 Central Force Problem Constants of Motion

Lec 13 Classification of Orbits

Lec 14 Determining Orbits

Lec 15 Kepler Problem

Lec 16 Runge Lenz Vector Virial Theorem

Lec 17 Scattering I

Lec 18 Scattering II

Lec 19 Rigid Bodies and Generalised Coordinates

Lec 20 Rotations and Euler Angles

Lec 21 Rotating Frames

Lec 22 Instantaneous Angular Velocity

Lec 23 Moment of Inertia Tensor

Lec 24 Euler Equations

Lec 25 Heavy Symmetric Top

Lec 26 Legendre Transforms

Lec 27 Hamilton s Equations

Lec 28 Conservation Laws Routh s procedure

Lec 29 An Example Bead on Spinning Ring

Lec 30 Canonical Transformations

Lec 31 Symplectic Condition

Lec 32 Canonical Invariants Harmonic Oscillator

Lec 33 Poisson Bracket Formulation

Lec 34 Infinitesimal Canonical Transformations

Lec 35 Symmetry Groups of Mechanical Systems

Lec 36 Hamilton Jacobi Theory

Lec 37 Action Angle Variables

Lec 38 Separation of Variables and Examples

Lec 39 Small Oscillations

Lec 40 Coupled Oscillators

Lec 41 General Formalism

Lec 42 Double Pendulum

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Theoretical Mechanics Fundamentals

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