WHAT IS MOMENT OF INERTIA?

Moment of inertia is a property of a body that defines its resistance to a change in angular velocity about an axis of rotation. It is how rotation  of a body is affected by Newton''s law of inertia, which states "Every body perseveres in its state of being at rest or of moving uniformly straight forward except insofar as it is compelled to change its state by forces impressed." In this context, inertia refers to resistance to change.

There are 2 type of moment of Inertia

1. Mass moment of Inertia  :  I = ∫r²dm ,  used to see the rotational resistance.

2. Area moment of Inertia :  I =  ∫r²dA  ,  used to see bending resistance ,,  Not in your syllabus.

There are 2 type of Moment of inertia,

1. Mass moment of Inertia ,  I = ∫r²dm ,  used to see extent upto which it  can resist rotational acceleration.

2. Area moment of Inertia,   I = r²dA ,  used to see bending resistance ,  ...  Not in your syllabus..

Thanks & Regards

Amar Kumar

AskIITians Faculty

M.Tech, IIT Delhi