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20. A uniform wire is bent into the form of a triangle with sides a, b, Prove that the distances of the centre of gravity of the whole from the sides are b+c,c+a.a+b. a' b

20. A uniform wire is bent into the form of a triangle with sides a, b, Prove that the distances of the centre of gravity of the whole from the sides are b+c,c+a.a+b. a' b

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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20. A uniform wire is bent into the form of a triangle with sides a, b, e. Prove that the distances of the centre of gravity of the whole from the sides are b+c.c+a.a+b a b 26. Prove that the distance from the cusp of the centroid of the area of the cardioidr = a(1 + cos 0), when the density at any point varies as the th power of the distance from the cusp is (n + 2)(2n + 5)a (n + 3)(n + 4) find the positions of the centroids of the arcs of the cure + y between two successive cusps.
Transcribed Image Text:20. A uniform wire is bent into the form of a triangle with sides a, b, e. Prove that the distances of the centre of gravity of the whole from the sides are b+c.c+a.a+b a b 26. Prove that the distance from the cusp of the centroid of the area of the cardioidr = a(1 + cos 0), when the density at any point varies as the th power of the distance from the cusp is (n + 2)(2n + 5)a (n + 3)(n + 4) find the positions of the centroids of the arcs of the cure + y between two successive cusps.
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