Parabolic region A thin plate of unit density occupies the

Chapter 14, Problem 52E

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QUESTION:

Parabolic region A thin plate of constant density occupies the region between the parabola \(y=a x^{2}\) and the horizontal line y = b, where a > 0 and b > 0. Show that the center of mass is \(\left(0, \frac{3 b}{5}\right)\), independent of a,

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QUESTION:

Parabolic region A thin plate of constant density occupies the region between the parabola \(y=a x^{2}\) and the horizontal line y = b, where a > 0 and b > 0. Show that the center of mass is \(\left(0, \frac{3 b}{5}\right)\), independent of a,

ANSWER:

Solution 52E

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