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Download as PDF; Printable version; ... Vectorial Mechanics (1948) is a book on vector manipulation ... statics of rigid bodies, ...
In the physical science of dynamics, rigid-body dynamics studies the movement of systems of interconnected bodies under the action of external forces.The assumption that the bodies are rigid (i.e. they do not deform under the action of applied forces) simplifies analysis, by reducing the parameters that describe the configuration of the system to the translation and rotation of reference ...
Statics is used in the analysis of structures, for instance in architectural and structural engineering. Strength of materials is a related field of mechanics that relies heavily on the application of static equilibrium. A key concept is the center of gravity of a body at rest: it represents an imaginary point at which all the mass of a
Loney, SL (1897), The elements of statics and dynamics, Cambridge: University Press, JFM 23.0903.08; Loney, SL (1903), A Shilling Arithmetic, London: Macmillan and Co. Loney, SL (1909), An elementary treatise on the dynamics of a particle and of rigid bodies, Cambridge: University Press, JFM 21.0845.02
A twist is a screw used to represent the velocity of a rigid body as an angular velocity around an axis and a linear velocity along this axis. All points in the body have the same component of the velocity along the axis, however the greater the distance from the axis the greater the velocity in the plane perpendicular to this axis.
Chapter five introduces the moment of inertia and angular momentum to prepare for the study of the dynamics of rigid bodies. [7] Chapter six focuses on the solutions of problems in rigid body dynamics, with exercises including "motion of a rod on which an insect is crawling" and the motion of a spinning top.
A treatise on the analytical dynamics of particles and rigid bodies : with an introduction to the problem of three bodies (4th ed.). Cambridge University Press. Cambridge University Press. ISBN 0-521-35883-3 .
In classical mechanics, Euler's rotation equations are a vectorial quasilinear first-order ordinary differential equation describing the rotation of a rigid body, using a rotating reference frame with angular velocity ω whose axes are fixed to the body. They are named in honour of Leonhard Euler.