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Titlebook: Rigid Body Dynamics; A Lagrangian Approac Hamad M. Yehia Book 2022 Springer Nature Switzerland AG 2022 Rigid body dynamics.Lagrangian mecha

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The Motion of a Body with No Fixed Point chapter, we study certain problems of motion when the body is not fixed from any point. For the moment, we shall not begin with constructing a Lagrangian for the motion. To keep the applicability of the equations of motion as wide as possible, we assume that the body is subject to a set of forces,
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The Rigid Body in a Potential Fieldut can also be easily extended to cases of motion of a rigid body acted upon by general forces which admit symmetry about an axis fixed in space and passing through the fixed point. For such fields, the potential is a function of the Eulerian angles ., and the precession angle is a cyclic coordinate
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The Problem of Motion of a Body in a Liquidxtending in all directions and at rest at infinity. Strictly speaking, this problem belongs to the field of fluid dynamics. The problem evolved namely in this way. The ordinary differential equations of motion of the solid are simultaneously solved with partial differential equation governing the mo
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The Most General Integrable Cases in Rigid Body Dynamicsof the hierarchy of integrable cases in rigid body dynamics. That level is inaccessible for all direct methods used in mechanics in the past. Methods which investigate the existence of analytical or polynomial integrals and the existence of single-valued solutions of the equations of motion are equa
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The Rigid Body Acted upon by a Skew Combination of Fieldsering problems of rigid body dynamics in more general settings. In spite of its actuality and importance for scientific and technological purposes and although it is a direct logical generalization of the classical problem, the problem of motion of a rigid body under the action of asymmetric forces
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The Motion of a Body with No Fixed Pointgian for the motion. To keep the applicability of the equations of motion as wide as possible, we assume that the body is subject to a set of forces, which are not necessarily time independent and which may not have a potential.
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