is it necessary to calculate the moment of inertia of a certain body or system justify your answer
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yes it is necessary........
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Yes, it is necessary to calculate the moment of inertia of a certain body with respect to an axis whenever we are discussing about some aspect of rotation of the body.
- Let us assume that a body is rotating about an axis as attached in the image.
- Now, we can assume that the body is composed of "n" number of particles at variable distances from the axis.
- So, the Moment of Inertia will be :
But, the question lies : why should we calculate it?
- It is the rotational analogue of mass.
- Secondly, it helps us to determine how mass is distributed in the body from the axis.
- Higher the mass away from the axis, higher will be the inertia and vice versa.
Hope It Helps.
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