Each particle has a mass of 0.3 kg and they all lie in the same plane. Where r i is the perpendicular distance from the axis to the i th particle which has mass m i.Ī system of point particles is shown in the following figure. R = (perpendicular) distance between the point mass and the axis of rotation Moment of Inertia of a System of Particlesįor a system of point particles revolving about a fixed axis, the moment of inertia is: R = Distance from the axis of the rotation.Īnd the Integral form of MOI is as follows:ĭm = The mass of an infinitesimally small component of the body Moment of inertia is the property of the body due to which it resists angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation. Each particle in the body moves in a circle with linear velocity, that is, each particle moves with an angular acceleration. In rotational motion, a body rotates about a fixed axis. So we have studied that inertia is basically mass. Because the heavier one has more mass, it resists change more, that is, it has more inertia. For instance, it is easier to throw a small stone farther than a heavier one. More the mass of a body more is the inertia. But what causes inertia in a body? Let’s find out. What is Inertia? It is the property of a body by virtue of which it resists change in its state of rest or motion.
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