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Find the Center of Mass of a Lamina in the Shape

Question 3

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Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse.Assume the vertex opposite the hypotenuse is located at ,and that the sides are along the positive axes. A) B) C) D) E) None of these if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse.Assume the vertex opposite the hypotenuse is located at Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse.Assume the vertex opposite the hypotenuse is located at ,and that the sides are along the positive axes. A) B) C) D) E) None of these ,and that the sides are along the positive axes.


A) Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse.Assume the vertex opposite the hypotenuse is located at ,and that the sides are along the positive axes. A) B) C) D) E) None of these
B) Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse.Assume the vertex opposite the hypotenuse is located at ,and that the sides are along the positive axes. A) B) C) D) E) None of these
C) Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse.Assume the vertex opposite the hypotenuse is located at ,and that the sides are along the positive axes. A) B) C) D) E) None of these
D) Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse.Assume the vertex opposite the hypotenuse is located at ,and that the sides are along the positive axes. A) B) C) D) E) None of these
E) None of these

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