moment of inertia equation angular velocity

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.

Kinematics of Rotation Motion about a Fixed Axis.

Dynamics of Rotational Motion About a Fixed Axis.

Angular Momentum in Case of Rotation About a Fixed Axis.

Angular Velocity and Angular Acceleration.

Theorems of Parallel and Perpendicular Axis.

Browse more Topics Under System Of Particles And Rotational Dynamics Understand the Theorem of Parallel and Perpendicular Axis here in detail. Therefore, it gets pushed backwards, that is, it resists change in its state. As soon as you board the moving train, your lower body comes in contact with the train but your upper body is still at rest. That is because before boarding the train you were at rest. Similarly, when you board a moving train, you experience a force that pushes you backwards. Therefore, when the bus stopped, your lower body stopped with the bus but your upper body kept moving forward, that is, it resisted change in its state. Your lower body is in contact with the bus but your upper body is not in contact with the bus directly. When the bus stopped, your upper body moved forward whereas your lower body did not move. What did you experience at this point? Yes. After a few minutes, you arrive at a bus stop and the bus stops.

Moment of inertia equation angular velocity