![]() ![]() ![]() This is the point at which if a force is applied, there will be no rotation. After digitizing, fifteen quantities are calculated and displayed: (1) area (2) moment of inertia of area with respect to digitizer x-axis, (3) moment of inertia of area with respect to digitizer y-axis, (4) product of inertia of area with respect to digitizer axes, (5) first moment of x for digitizer axes, (6) first moment of y for digitizer axes, (7) x coordinate of centroid, (8) y coordinate of centroid, (9) moment of area inertia of with respect to x axis through centroid, (10) moment of inertia of area with respect to y axis through centroid, (11) product inertia of area with respect to x and y axes through centroid, (12) polar moment of inertia of area around centroid, (13) radius of gyration about digitizer x axis, (14) radius of gyration about digitizer y-axis and (15) variance in the x-direction. The first moment of inertia gives the center of mass. In case 2, the parallel axis theorem must be used for the. The middle integral is Qx, the first moment of area (10.1.2) with respect to the centroidal axis x. ![]() The digitizer origin may be set anywhere on the digitizer table. This value is the same as the moment of inertia of a ( 4.5 in × 5.5 in ) rectangle about its centroid. The first is the centroidal moment of inertia of the shape Ix, and the third is the total area of the shape, A. The figure must be available in graphic form and is digitized once with chart digitizer (graphic tablet). Centroid and moments of an area using a digitizer The centroid and moments of an area program provides the centroid, moments of inertia, product of inertia, radii of gyration, and area of any closed planar geometric figure. ![]()
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