Mechanics I


Intermediate Mechanics I

Introduces proper physics formalism. The main point is the Lagrangian and the Hamiltonian

[Prerequisites]

Taylos’ Classical Mechanics is the only name in town.


[expand title=”1.- Newton’s Laws of Motion” rel=”submenu-highlander”]

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[expandsub2 title=”1.4- Newton’s First and Second Laws: Intertial frames” rel=”submenu-highlander1″]

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[expandsub2 title=”1.7- Two-Dimensional Polar Coordinates” rel=”submenu-highlander1″]

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[expand title=”2.- Projectiles and Charged Particles” rel=”submenu-highlander”]

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[expand title=”3.- Momentum and Angular Momentum” rel=”submenu-highlander”]

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[expandsub2 title=”3.1- Conservation of Momentum” rel=”submenu-highlander1″]

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[expandsub2 title=”3.3- The Center of Mass” rel=”submenu-highlander1″]

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[expandsub2 title=”3.5- Angular Momentum for Several Particles” rel=”submenu-highlander1″]

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[expand title=”4.- Energy” rel=”submenu-highlander”]

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[expandsub2 title=”4.1- Kinetic Energy and Work” rel=”submenu-highlander1″]

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[expandsub2 title=”4.2- Potential Energy and Conservative Forces” rel=”submenu-highlander1″]

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[expandsub2 title=”4.3- Force as the Gradient of Potential Energy” rel=”submenu-highlander1″]

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[expandsub2 title=”4.4- The Second Condition that F be Conservative” rel=”submenu-highlander1″]

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[expandsub2 title=”4.5- Time-Dependent Potential Energy” rel=”submenu-highlander1″]

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[expandsub2 title=”4.6- Energy for Linear One-Dimensional Systems” rel=”submenu-highlander1″]

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[expandsub2 title=”4.7- Curvilinear One-Dimensional Systems” rel=”submenu-highlander1″]

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[expandsub2 title=”4.9- Energy of Interaction of Two Particles” rel=”submenu-highlander1″]

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[expandsub2 title=”4.10- The Energy of a Multiparticle System” rel=”submenu-highlander1″]

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[expand title=”5.- Oscillations” rel=”submenu-highlander”]

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[expandsub2 title=”5.1- Hook’s Law” rel=”submenu-highlander1″]

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[expandsub2 title=”5.2- Simple Harmonic Motion” rel=”submenu-highlander1″]

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[expandsub2 title=”5.3- Two-Dimensional Oscillators” rel=”submenu-highlander1″]

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[expandsub2 title=”5.4- Damped Oscillations” rel=”submenu-highlander1″]

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[expandsub2 title=”5.5- Driven Damped Oscillations” rel=”submenu-highlander1″]

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[expandsub2 title=”5.6- resonance” rel=”submenu-highlander1″]

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[expandsub2 title=”5.7- Fourier Series” rel=”submenu-highlander1″]

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[expandsub2 title=”5.8- Fourier Series Solution for the Driven Oscillator” rel=”submenu-highlander1″]

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[expandsub2 title=”5.9- The RMS Displacement; Parseval’s Theorem” rel=”submenu-highlander1″]

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[expand title=”6.- Calculus of Variations” rel=”submenu-highlander”]

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[expandsub2 title=”6.1- Two Examples” rel=”submenu-highlander1″]

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[expandsub2 title=”6.2- The Euler-Lagrange Equation” rel=”submenu-highlander1″]

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[expandsub2 title=”6.3- Applications of the Euler-Lagrange Equation” rel=”submenu-highlander1″]

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[expand title=”7.- Lagrange’s Equations” rel=”submenu-highlander”]

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[expandsub2 title=”7.1- Lagrange’s Equations for Unconstrained Motion” rel=”submenu-highlander1″]

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[expandsub2 title=”7.2- Constrained Systems; and Example” rel=”submenu-highlander1″]

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[expand title=”8.- Two-Body Central-Force Problems” rel=”submenu-highlander”]

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[expandsub2 title=”8.7- The Unbounded Kepler Orbits” rel=”submenu-highlander1″]

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[expandsub2 title=”8.8- Changes of Orbit” rel=”submenu-highlander1″]

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[expand title=”9.- Mechanics in Noninertial Frames” rel=”submenu-highlander”]

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[expandsub2 title=”9.1- Acceleration Without Rotation” rel=”submenu-highlander1″]

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[expandsub2 title=”9.2- The Tides” rel=”submenu-highlander1″]

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[expandsub2 title=”9.3- The Angular Velocity Vector” rel=”submenu-highlander1″]

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[expandsub2 title=”9.4- Time Derivatives in a Rotating Frame” rel=”submenu-highlander1″]

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[expand title=”13.- Hamiltonian Mechanics” rel=”submenu-highlander”]

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