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Example 15.6.6: Finding moments of inertia for a triangular lamina = xy Use the triangular region R with vertices (0, 0), (2, 2), and (2, 0) and with density p(x, y) as in previous examples. Find the moments of inertia. Show solution For regions with constant density Mathematica has a MomentOfIntertia command. For example, if R is the region in the previous Example and p(x, y) = 1 then you could calculate I by specifying the axis through {0, 0} and {1, 0} and doing 00 Moment Of Inertia[Triangle[{{0, 0}, {2, 2}, {2, 0}}], {0, 0}, {1, 0}] Exercise 15.6.6 = Again use the same region R as above and the density function p(x, y) of inertia. 64 IT = 35 Iy 64 35 Io = 128 21 = X cy. Find the moments

Example 15.6.6: Finding moments of inertia for a triangular lamina = xy Use the triangular region R with vertices (0, 0), (2, 2), and (2, 0) and with density p(x, y) as in previous examples. Find the moments of inertia. Show solution For regions with constant density Mathematica has a MomentOfIntertia command. For example, if R is the region in the previous Example and p(x, y) = 1 then you could calculate I by specifying the axis through {0, 0} and {1, 0} and doing 00 Moment Of Inertia[Triangle[{{0, 0}, {2, 2}, {2, 0}}], {0, 0}, {1, 0}] Exercise 15.6.6 = Again use the same region R as above and the density function p(x, y) of inertia. 64 IT = 35 Iy 64 35 Io = 128 21 = X cy. Find the moments

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Example 15.6.6: Finding moments of inertia for a triangular lamina = xy Use the triangular region R with vertices (0, 0), (2, 2), and (2, 0) and with density p(x, y) as in previous examples. Find the moments of inertia. Show solution For regions with constant density Mathematica has a MomentOfIntertia command. For example, if R is the region in the previous Example and p(x, y) = 1 then you could calculate I by specifying the axis through {0, 0} and {1, 0} and doing 00 Moment Of Inertia[Triangle[{{0, 0}, {2, 2}, {2, 0}}], {0, 0}, {1, 0}] Exercise 15.6.6 = Again use the same region R as above and the density function p(x, y) of inertia. 64 IT = 35 Iy 64 35 Io 128 21 = = X cy. Find the moments
Transcribed Image Text:Example 15.6.6: Finding moments of inertia for a triangular lamina = xy Use the triangular region R with vertices (0, 0), (2, 2), and (2, 0) and with density p(x, y) as in previous examples. Find the moments of inertia. Show solution For regions with constant density Mathematica has a MomentOfIntertia command. For example, if R is the region in the previous Example and p(x, y) = 1 then you could calculate I by specifying the axis through {0, 0} and {1, 0} and doing 00 Moment Of Inertia[Triangle[{{0, 0}, {2, 2}, {2, 0}}], {0, 0}, {1, 0}] Exercise 15.6.6 = Again use the same region R as above and the density function p(x, y) of inertia. 64 IT = 35 Iy 64 35 Io 128 21 = = X cy. Find the moments
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