Newton’s first law of motion explained that if an object is in rest then it is said to be in rest and when it is moved then it is in motion, so it proves that all objects have natural tendency to be in rest, they resist their motion.
So the property of any object to stop its state of motion is known as inertia. This word can also be described in terms of a resistance in the motion of object. So this is the particular property of an object to stop any alteration in its motion. Please express your views of this topic Angular Acceleration Problems by commenting on blog.
It is basic of classical physics and use to know about the matter’s motion and the effect of applied forces on the motion of matter. In general words, this can also be explained as the resistance to alter in the value of the velocity or the momentum. There is not any particular theory that describes the source of (In).
The law of inertia states the same definition of (In). This explains it as the specific property of any object to stop any change in its motion. As Newton's states that for the movement of an object, the external force is required like friction or gravity.
So first this concept was explained with taking the example of earth as the earth also revolves around the sun. And if the body is moved on a flat surface in a given straight direction then it is continued with its speed with the same direction unless disturbed.
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The Inertia Equation can be written with the use of mass and radius of moving body. So the formula for the (I) may be generally expressed as; I = k m r^2; where m is the mass of body, r is the distance travelled, and k is (I) constant which depends on the shape of the moved body.
For example; if we discuss about the thin-walled hollow cylinder, then the momentum of a thin-walled hollow cylinder is like the point mass. So it can be expressed as; I = m x r^2 and k is equal to one as it is taken one for point mass, where m is hollow’s mass and r is for distance.
Here we are taking two distances; one is the distance between axis and the thin walled hollow and ro is the distance between axis and outside hollow. So for the hollow cylinder: I = 1/2 m (ri2 + ro2). But for a solid cylinder, it is equal to the; I = 1/2 m r^2 (3c).
We can also measure the Product of Inertia by measuring (I) of a moving body in two different axes. As it is measured by the mass of an object, so the Units of Inertia is kgm2. This is Inertia Units in SI system.