Analytical Mechanics - Lecture 1 - Part 1
Instructor's Solutions Manual Analytical Mechanics - Seventh Edition
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In analytical mechanics , specifically the study of the rigid body dynamics of multibody systems , the term generalized coordinates refers to the parameters that describe the configuration of the system relative to some reference configuration. These parameters must uniquely define the configuration of the system relative to the reference configuration. The generalized velocities are the time derivatives of the generalized coordinates of the system. An example of a generalized coordinate is the angle that locates a point moving on a circle. The adjective "generalized" distinguishes these parameters from the traditional use of the term coordinate to refer to Cartesian coordinates : for example, describing the location of the point on the circle using x and y coordinates. Although there may be many choices for generalized coordinates for a physical system, parameters that are convenient are usually selected for the specification of the configuration of the system and which make the solution of its equations of motion easier. If these parameters are independent of one another, the number of independent generalized coordinates is defined by the number of degrees of freedom of the system.
ANALYTICAL MECHANICS. IL. IT. LIE Analytical mechanics/Louis N. Hand, Janet D. Finch. p. cm. . Single Frequency Solutions to Equations of Motion.
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