Centroids and Centers of Gravity; Moments of Inertia

Submitted by Rafael Christi… on

Modified True or False:
1. The intersection of the vertical lines at various single support and orientation of a rigid body may approximate the center of gravity of the body.
2. The vertical and horizontal coordinates of the intersection at any reference frame is the centroid of the body.
3. It is assumed that the body is laminar and non-homogenous to determine the centroid.
4. The sum of the products of the elemental weights of the body and individual distances of the centroid of each element with any reference weight is equal to the moment of inertia of the body.
5. The moment of area may be determined if the volume of the body is known.
6. The centroid along the x-axis is the sum of the product of all the elemental areas and their individual centroidal distances act to the x-axis multiplied by the inverse of the total area of the body.
7. The distance from the origin of an arbitrary reference frame of the center of gravity of a body may be determined by getting the square root of the centroidal distances of the body with the same reference frame.
8. Considering a generalized distributed load, the centroid of the load may approximate the exact line of action of the equivalent concentrated load of a distributed load.
9. The term Jda cannot refer to the area of a particular section on a body with composite section.
10. The centroid of a square with a circle removed , whose diameter is side of the square is the centroid of both the circle and the square.