Find the Center of Mass of a Lamina in the Shape

question 36

Multiple Choice

Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length $a = 25$ 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 $( 0,0 )$ , and that the sides are along the positive axes.

• A) \(( 10,10 )\)
• B) \(( 10,25 )\)
• C) \(( 25,25 )\)
• D) \(( 5,10 )\)
• E) None of these

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