Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 239
NALYTICAL MECHANICS The linear acceleration varies from point to point, butthe angular acceleration is the same for all the elements.Therefore the discussion of theproblem becomes simpler if wereplace the linear acceleration bythe angular acceleration. Thismay be done by taking the mo-ments of the… … Fig. 111. = rdm dt = r2 dm dt (v = rco). Therefore the resultant torque acting upon the body, or theBum of the moments due to the forces acting upon all theparticles of the body, is = co I r2 dm. Bui by equation (V) G = Iw. Therefore/= / r2dm, which i- the definition of the moment of inertia given…
Mechanics, Analytic
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