Moreover, the Steiner formula and the polar moments of inertia were calculated for the inverse motion. Furthermore, we expressed the relation between the area enclosed by a path and the polar moment of inertia. We dealt with the polar moment of inertia of a path generated by closed planar motions. Then we obtained the moving pole point for a closed planar motion. If the points of the moving (or fixed) plane, which enclose the same area lie on a circle, then the center of this circle is called the Steiner point (if these points lie on a line, we use Steiner normal instead of Steiner point). We calculated the expression of the Steiner formula firstly relative to a moving coordinate system and then a fixed coordinate system during one-parameter closed planar motions in complex plane. Then he generalized the Steiner area formula. Müller researched the relation between the Steiner formula and the polar moment of inertia. Tutar expressed the Steiner formula and the Holditch theorem during one-parameter closed planar homothetic motions. Steiner explained some properties of the area of the path of a point for a geometrical object rolling on a line and making a complete turn.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |