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Titlebook: Analytical Mechanics; A. I. Lurie Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 Analytical Dynamics.Finite Rotation.Lagrangian Equa

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https://doi.org/10.1007/978-3-531-90733-8, fixed in the “carrying body” can be described by a finite or even a countable set (the case of a solid) of the generalised coordinates. While investigating the motion of such a system we can state two problems. The first problem is as follows. The motion of the “carrying body” is prescribed and th
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https://doi.org/10.1007/978-3-531-90733-8rential equations of motion. However they do not exhaust all the ways of representing the laws governing the motion of material bodies. An alternative is variational statements dealing with the stationary properties of certain values and enabling the complete replacement of the above statements.
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The fundamental equation of dynamics. Analytical statics,e distinguish between two categories of forces acting at the points within the system, namely the constraint forces and the active (or prescribed) forces. The resultant of the constraint forces exerted at point .. is denoted by .. whereas that of the active forces is denoted by ...
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978-3-642-53650-2Springer-Verlag Berlin Heidelberg 2002
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https://doi.org/10.1007/978-3-531-92394-9As mentioned in Chapter 1 rigid bodies and systems of rigid bodies are the most important objects of analytical mechanics. For this reason it is a worthwhile exercise to briefly review the basic formulae for rigid body kinematics and discuss some special problems in greater detail.
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https://doi.org/10.1007/978-3-658-10067-4A rigid body having a fixed point . is subject to rotation through an angle . about an axis whose direction is given by unit vector e. The direction of e is chosen in such a way that watching from the end of vector e one observes the rotation through a positive angle ≤180°, that is counterclockwise for a right-handed coordinate system.
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