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Syllabus

Generalized coordinates, Lagrange’s equations, Hamilton’s canonical equations, Hamilton’s principle and principle of least action, Two-dimensional motion of rigid bodies, Euler’s dynamical equations for the motion of a rigid body about an axis, theory of small oscillations.

 

Course Curriculum

GENERALIZED COORDINATES
Generalized Notation 02:16:00
LAGRANGE EQUATION
DAlembert Principle and Lagrange Equation 02:01:00
Lagrange Equation from Variational Principle 01:41:00
Problems on Lagrangian FREE 00:54:00
Symmetry and Conservation Laws 01:14:00
HAMILTONIAN FORMULATION
Hamiltonian Formulation 00:30:00
Problems on Hamiltonian 00:26:00
RIGID BODY DYNAMICS
Degree of Freedom and Euler Angles 01:16:00
Rotation about Fixed Axis 01:48:00
Translation + Rotation FREE 01:07:00
Angular Momentum 01:25:00
Euler Equations and Its Applications 00:35:00
SMALL OSCILLATION
Small Oscillation in One Dimension 02:27:00
Coupled Oscillation 00:52:00

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