The moment of inertia of a uniform-density disk rotating about an axle through its center can be shown to be MR². This result is obtained by using integral calculus to add up the contributions of all the atoms in the disk. The factor of 1/2 reflects the fact that some of the atoms are near the center and some are far from the center; the factor of 1/2 is an average of the square distances. A uniform- density disk whose mass is 18 kg and radius is O.12 m makes one complete rotation every 0.4 s.

The moment of inertia of a uniform-density disk rotating about an axle through its center can be shown to be MR². This result is obtained by using integral calculus to add up the contributions of all the atoms in the disk. The factor of 1/2 reflects the fact that some of the atoms are near the center and some are far from the center; the factor of 1/2 is an average of the square distances. A uniform- density disk whose mass is 18 kg and radius is O.12 m makes one complete rotation every 0.4 s.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter11: Dynamics Of Rigid Bodies

Section: Chapter Questions

Problem 11.34P

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