A thin plate of constant density is to occupy the triangular region in the first quadrant of

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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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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: May 09, 2023 04:11 AM

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A thin plate of constant density is to occupy the triangular region in the first quadrant of

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Lets consider an elemental area of the plate at a distance of r from the origin at an angle The mass ...View the full answer

Thomas Calculus Early Transcendentals

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