APPLICATION OF INTEGRALS IN DETERMINING THE MOMENT OF INERTIA OF A TRIANGLE PLANE WITH RESPECT TO A LINE THROUGH THE CENTROID OF THE TRIANGLE

Abstract

Moment of Inertia is a measure of the inertia of an object to rotate about its axis. In this research, we will discuss determining the moment of inertia of a triangular plane whose axis is at the centroid point of the triangle. The plane can be a right triangle, isosceles triangle or non-isosceles triangle. Determining the moment of inertia of a plane can theoretically be done by applying the concept of a certain integral. The work process begins by first determining the coordinates of the centroid point of the triangle and then determining the boundaries of a certain integral which will then produce the magnitude of the moment of inertia of the plane. The results of this research are the magnitude of the moment of inertia of the triangular plane regarding the x-axis and the moment of inertia of the triangular plane regarding the y-axis which has its axis at the centroid point of the triangle.