Three identical masses m are located at the three corners of an equilateral triangle with sides a in the xy-plane, with its base along the x-axis. Find their center of mass rCM and moments of inertia I with respect to (a) an axis through the center of mass parallel to the x-axis and (b) an axis through the center of mass parallel to the y-axis.

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 11.2P
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Three identical masses m are located at the three corners of an equilateral triangle with sides a in the xy-plane, with its base along the x-axis. Find their center of mass rCM and moments of inertia I with respect to (a) an axis through the center of mass parallel to the x-axis and (b) an axis through the center of mass parallel to the y-axis.

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