Chapter 13: Q.65 (page 1040)
Use the lamina from Exercise 64, but assume that the density is proportional to the distance from the x-axis.
Short Answer
The Center of mass of the lamina is at
Chapter 13: Q.65 (page 1040)
Use the lamina from Exercise 64, but assume that the density is proportional to the distance from the x-axis.
The Center of mass of the lamina is at
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Get started for freeIn Exercises 57–60, let R be the rectangular solid defined by
R = {(x, y, z) | 0 ≤ x ≤ 4, 0 ≤ y ≤ 3, 0 ≤ z ≤ 2}.
Assume that the density of R is uniform throughout, and find the moment of inertia about the x-axis and the radius of gyration about the x-axis.
What is the difference between a triple integral and an iterated triple integral?
Use the results of Exercises 59 and 60 to find the centers of masses of the laminæ in Exercises 61–67.
Use the lamina from Exercise 61, but assume that the density is proportional to the distance from the x-axis.
Describe the three-dimensional region expressed in each iterated integral in Exercises 35–44.
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