2. Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length a if the density at any point (a, y) is proportional to the square of the distance from the vertex opposite the hypotenuse.

2. Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length a if the density at any point (a, y) is proportional to the square of the distance from the vertex opposite the hypotenuse.

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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Question

2. Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length
a if the density at any point (a, y) is proportional to the square of the distance from the vertex opposite
the hypotenuse.

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