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ECTURE +2 RIGId BoDY DYNAnIC 工Ap1CAT105FA。R工 GENERAL ROTATIONAL JYNMICS EULER'S EQuATIoN of MOTIoN TORQVE fREE SPECIAL CAsEs PRIMARY LESSONS 3D RoTATONAL MOTION MUCH MORE COMPLEX
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16.61 Aerospace Dynamics Spring 2003 Derivation of lagrangian equations Basic Concept: Virtual Work Consider system of N particles located at(, x2, x,,.x3N )with 3 forces per particle(f. f, f..fn). each in the positive
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16.61 Aerospace Dynamics Spring 2003 Example Given: Catapult rotating at a constant rate(frictionless, in the horizontal plane) Find the eom of the particle as it leaves the
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16.61 Aerospace Dynamics Spring 2003 Lagrange's equations Joseph-Louis lagrange 1736-1813 http://www-groups.dcs.st-and.ac.uk/-history/mathematicians/lagranGe.html Born in Italy. later lived in berlin and paris Originally studied to be a lawyer
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动力学基本方程式 表示过电位n(或极化电位E和电极反应速 度i间的关系式
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16.61 Aerospace Dynamics Spring 2003 Generalized forces revisited Derived Lagrange s equation from d'Alembert's equation ∑m(8x+16y+22)=∑(Fx+F+F。=) Define virtual displacements sx Substitute in and noting the independence of the 8q,, for each
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P CDN STANT Wow TAKE THE MOMENT OF MOMENTUM (ANGULAR MOMENTUM) MUST EXPLICITLY DEFINE A POWT ABOUT WHICH WE TAKE THE MOMENT
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药品标准 drug standard 质量标准 quality standard 标准品 standard substance 国际标准品
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Lecture #4 16.61 Aerospace Dynamics Extension to multiple intermediate frames(two) Copyright 2002 by Jonathan How
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NEWTONs L丹WS ① BoDY CoNTINUES玉 N TTS STATE OF MOT(0N DR REST UNLESS FORCED DI RECTIoNs IMPoRTA
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