...different equatorial diameters, are to each other inversely as the squares of their radii of gyration.! The radius of gyration is the distance from the axis of rotation to the centre of gyration, or point within the mass at which we can conceive an opposing force applied which...

...different equatorial diameters, are to each other inversely as the squares of their radii of gyration. f The radius of gyration is the distance from the axis of rotation to the centre of gyration, or point within the mass at which we can conceive an opposing force applied which...

...into the square of the distance of that point from the axis of rotation. Calling it I, 1 = 2 w».2. The radius of gyration is the distance from the axis of rotation at which the whole mass of the body, concentrated at a point, would have the same moment of inertia...

...rotation. The center of gyration is not at the center of gravity, nor at the center of oscillation, but at some point in a straight line between those centers....radius of gyration is the average of the squares of the distances from the axis of rotation to each elementary particle of the body, or to each elementary...

...the geometrical axis distant r3 from it, its moment o£ inertia is R'r = 1/2 M K2 + r22) + M r*. (83) The radius of gyration is the distance from the axis of rotation to the point at which, if all the mass of the body were concentrated, the moment of inertia of the body would...

...body, that is, .)/ ** = 2 mr", where the distance k is known as the radius of gyration. Accordingly, the radius of gyration is the distance from the axis of rotation such that, if the entire mass of the rotating body were concentrated in a point at this distance, the...

...g is the acceleration of gravity, n is the number of revolutions of the rotating body per second, p is the distance from the axis of rotation to the center of gravity of the mirror element. In eq.(?8.l), G = wy where w is the size of the mirror element and \...

...moment about the cg, to the second moment about any other pivot: ./pivot = Jc.g. + Md2 (3.8) where d is the distance from the axis of rotation to the center of gravity. If we know the second moment about any axis through the cg, we can find the second moment...

...the constant of proportionality is K = (1.181) where m^ is the mass of the rotating component and e is the distance from the axis of rotation to the center of mass of the rotating component. The steady-state amplitude of the response due to a frequency-squared...

...height cubed (H3). However, rotational inertia (I) is proportional to H5 because I oc d2M, where d is the distance from the axis of rotation to the center of mass or gravity (d oc L or H and is also referred to as radius of rotation). Thus, I oc d2M oc L2L3...