For simplicity, the rotating axis is perpendicular to the rod and goes through the midway in this case. We would like a thin rod so that we may suppose it has a tiny cross-sectional area and it can be conceived of as a string of masses strung across a one-dimensional single direction. Imagine a minuscule component of length dl matching to the minuscule component of mass dm. When the axis is positioned perpendicular at one of its two ends. ![]() The axis slices perpendicular through the rod’s centre of mass, exactly in the middle.The rod depicts two moments depending on the location of the axis of rotation: when Moment of inertia of a RodĪssume a rod with a mass of M and a length of L, with a linear density of M/L. A uniform rod’s centre of mass is located in the middle of the rod. The letter ‘I’ stands for it.Ī uniform thin rod is one where the linear mass density/ mass per length of the rod is the same at all locations along its length. For linear motion, the ‘moment of inertia’ is the rotational counterpart of mass. In physics, the prefix ‘moment of’ denotes the rotational side of a linear quantity. When compared to lighter items, heavier objects are more challenging to accelerate/propel while at rest and just as harder to halt when in motion. The tendency of substances to resist change/ inertia, changes with their mass. When an object of a specific mass is thrust into movement or brought to a standstill by an externally applied force, inertia is generated which is the opposition/resistance it gives. In this article, we will learn to calculate the moment of inertia of a rod using both methods including the parallel axis theorem. Firstly, when the axis slices perpendicular through the rod’s centre of mass, exactly in the middle and secondly when the axis is positioned perpendicular at one of its two ends. If we assume a rod with a mass of M and a length of L, with a linear density of M/L, the rod depicts two moments of inertia depending on the location of the axis of rotation. A uniform thin rod is one where the linear mass density/ mass per length of the rod, is the same at all locations along its length.
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