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Names: Geiges, Hansjörg, 1966– Title: The geometry of celestial mechanics / Hansjörg Geiges, University of Cologne. Description: Cambridge : Cambridge University Press, 2016. | Series: London Mathematical Society student texts ; 83…
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Eleventh Edition Vector Mechanics For Engineers Statics and Dynamics Ferdinand P. Beer Late of Lehigh University E. Russell Johnston, Jr. Late of University
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1 Rigid Body Motion Inertia Tensor Rotational Kinetic Energy Principal Axes of Rotation Steiner s Theorem Euler s Equations for a Rigid Body Eulerian Angles Review of Fundamental Equations 2 Rigid body Lagrangian Mechanics I Wednesday, 11 September 2013 How Lagrange revolutionized Newtonian mechanics Physics 111 Newton based his dynamical theory on the notion of force, for which he gave a somewhat incomplete Two coplanar non-parallel forces will always be concurrent. Equilibrium of a particle. When the resultant of all forces For each value of i and j, the sum over the dummy index k or l yields an equation. 5 Vector and matrix notation When the scalars are arranged in the form of a column we may refer to this column as a vector. You may think at first that the words "fluid" and "mechanics" should not go together. However, the ways in which fluids (gases and liquids and a few other materials) respond to fo