moment of inertia

generally they say that moment of inertia cannot be more than MR*2.but there is a case where it can be greater than MR*2.can anyone describe one such case? nishant bhai please dont answer this.

6 Answers

1
Shreyan ·

moment of inertia of a ring about an axis parallel to axis passing through centre and through the circumference:

using parallel axis theorem,

Ixx' = Ic + Md2

Ixx' = Mr2 + Mr2 = 2Mr2

thus, moment of inertia is more than MR2

(is this what u actually asked for???)

1
skygirl ·

nice question :)

39
Dr.House ·

that answer was too obvious yaar shreyan.i want some physical situation without any use of these parallel axis theorem.

62
Lokesh Verma ·

Hmm.. this is a still better question :)

1
Grandmaster ·

u can see the moment of inertia of a ring alontg its srim von vertical axis

62
Lokesh Verma ·

Finally Am posting the answer cos no one else did :) (Sorry b555.. and sorry i dont know ur name either :D)

This is not a very easy visualisation....

take a Sphere of variable density.. very high density at the center and lower density as you go out.. Find the I of this..

Or for that matter an Atom.. The Protons and Neutrons at the center and electrons aroudn it..

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