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MECHANICs OF SYSTEMS PRINCIPLE OF VIRTUAL WORK
The Laws of Friction
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acceleration amplitude angle angular momentum angular velocity arbitrary areal velocity axes axis of rotation ball called center of mass centrifugal force collision components const constant constraint coordinates coupled cycloid d'Alembert's principle degrees of freedom derived differential equation direction earth ellipse ellipsoid equal equation of motion equilibrium Euler's equations expression external forces fixed flywheel follows force F forces acting function given gravitational Hamilton's equations Hamilton's principle hence horizontal inertia inertial forces initial integration introduce kinetic energy Lagrange Lagrange's equations linear magnitude mass center mass point means mechanics method momental ellipsoid Newton's non-holonomic normal obtain oscillations outer ring particle path pendulum perpendicular plane position precession problem pure rolling quantity radius reference point result right member rigid body space sphere spherical spherical pendulum static friction surface term theory torque trajectory transformation vanish variable vector vertical virtual displacement wheel yields zero