Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 172
a of a body about any axis equals its moment of inertia about a parallel axis through the center of 7nass plus the product of the mass of the body by the square of the distance between the two axes. Let the axis be perpen-dicular to the plane of thepaper and pass throughthe point 0, Fig. 86.… … Fig. S6. dm /=/ r»« Jo= I (r2 + a2 — 2 arc cos 0) dm rc-dm+\ a*dm—2a \ rccosddm 0 i/O t/0 = Ic+ ma2- 2a j xdm. nm But by the definition of the center of mass J xdm= tnx, and in the present case the center of mass is at the origin;therefore x and consequently the lasl integral \ranishes. Thus we get…
Mechanics, Analytic
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
