Masses and MomentsMinimizing polar inertia A thin plate of

Chapter 15, Problem 15AAE

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Problem 15AAE

Masses and Moments

Minimizing polar inertia A thin plate of constant density is to occupy the triangular region in the first quadrant of the xy-plane having vertices (0, 0), (a, 0), and (a, 1/ a). What value of a will minimize the plate’s polar moment of inertia about the origin?

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