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EXPERTS PLZ HELP ME Is the moment of inertia of disc and ring are (mr 2 )/2 and mr 2 respectively?? and if yes how can the moment of inetial of ring greater than that of disc ??

EXPERTS PLZ HELP ME 
 
Is the moment of inertia of disc and ring are (mr2)/2 and mrrespectively??
and if yes how can the moment of inetial of ring greater than that of disc ??

Grade:12

2 Answers

Shaswata Biswas
132 Points
7 years ago
Yes, its true. The moment of inertia of a disc and a ring about an axis perpendicular to their plane are \frac{1}{2}mr^{2} and mr^{2} resspectively.
Here you have to notice in both the cases we are taking the mass are m. So in case of ring, mass m is distributed only at the circumference of the circle. 
But in case of disc, the same mass is distributed along the whole area of the disc. That is the reason behind their fluctuations.
THANKS
Piyush Kumar Behera
417 Points
7 years ago
See the moment of inertia is proportional to r2,for same mass ,as the mass is concentrated more farther from the  ring it will have greater moment of inertia.

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