Show,by integration that the moment of inertia of a uniform thin rod AB of mass 3m and length 4a about an axis through one end and perpendicular to the plane of the rod, is 16ma2  The rod is free to rotate in a vertical plane about a smooth horizontal axis through its end A  Find i)The raduis of gyration of the rod about an axis through A ii)The period of small oscillations of the rod about its position of stable equilibrum

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 11.7P
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Show,by integration that the moment of inertia of a uniform thin rod AB of mass 3m and length 4a about an axis through one end and perpendicular to the plane of the rod, is 16ma2

 The rod is free to rotate in a vertical plane about a smooth horizontal axis through its end A 

Find

i)The raduis of gyration of the rod about an axis through A

ii)The period of small oscillations of the rod about its position of stable equilibrum

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