An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)
Smith, Augustus William, 1802-1866 · New York, Harper · leaf 216
ts moment of inertia about a parallel axis passingthe center of gravity, by the product of the mass into the squareof the distance between the axes. Let m be a particle of the body, and let theplane mCG, passing through m, cut the twoaxes at C and G. Through the axis at Gpass a plane perpendicular… … ROTATION OF RIGID BODIES. 193 mr2=mr\+mh2±2mh.GD,and S.mr2=S.mrf+A22m±2A2.m.GD. Now, since the plane through the axis at G passes throughthe center of gravity, by (29), 2.m.GI)=2.m.Fm=0..*. ^.mr2=Il.mr2l-\-h2lm M being the whole mass of the body. 318. Schol. Assuming k, such that Mk2=2.mr2, we…
Mechanics, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
