The resistance that’s shown by the object to change it is rotation is called the moment of inertia denoted by symbol I. The moment of inertia describes the angular acceleration produced by an applied torque.
Factors determine the moment of inertia of a body
The Moment of inertia depends on the
- Shape of the body
- Mass distribution of the body
- The orientation of the rotational axis
Importance of moment of inertia
- The moment of inertia plays the same role for rotation as the mass does for a translational motion, it describes the resistance of a body to a change of it is state of motion.
- The difficulty faced to change the angular motion of any object about an axis is shown or given or measured by calculating the moment of inertia about that particular axis.
- According to the first law of motion given by Newton says that a body is in it is current motion state till any external force is acted upon it.
- The moment of inertia of the linear motion is measured by the mass of the system and angular counterpart.
- The inertia is related to mass and the amount of mass distribution throughout the body.
- It isn’t necessary to be possessing the same moment of inertia by two bodies of the same mass.
- Thus, the inertia shows that how tough a body to move.
- If an object possess more inertia then it is very difficult to move it or stop it; for example, the inertia of a heavy truck is more than a person.
- It also shows how hard is spinning of an object with respect to certain axis which depends on mass and location of mass.