Identify the property that changes as a function of the geometrical dimensions of a section in structural materials.
Right Answer is:
Moment of inertia
The moment of inertia of an object is a measure of the distribution of the object’s mass about a particular axis of rotation. Large moments of inertia correspond to lots of mass distributed far from the axis. The moment of inertia I of a point mass is given by I=mr2, where m is the mass and r is the shortest distance between the point mass and the axis.
For objects that have regular geometric shapes and which are of homogeneous density, we can evaluate the moment of inertia from this formula by the use of the calculus. The magnitude arrived at is dependent on the position and orientation of the axis of rotation in relation to the shape of the object. Objects that are not spherically symmetrical have different moments of inertia about a different axis. For inhomogeneous or irregularly shaped objects it is necessary to resort to direct measurement. It is not necessary, however, to remeasure for each specific axis of rotation.
I = MR2
(Moment of Inertia = Rotational Inertia)
(It is analogous to mass in translational motion)
Generally, I = MR2
Here, R = Radius of Gyration
Hence, it depends on the shape or geometry of the object.