Physics, asked by keyshaoo7, 5 months ago

is it necessary to calculate the moment of inertia of a certain body or system justify your answer​

Answers

Answered by komal1242
1

Answer:

yes it is necessary........

Answered by nirman95
18

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 :

 \sf \therefore \: I =  \sum \bigg( m_{i}{r_{i}}^{2}  \bigg)

 \sf \implies \: I =  m_{1}{r_{1}}^{2}  + m_{2}{r_{2}}^{2}  +upto \: n \: times

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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