Chapter 13: Q. 19 (page 1038)
Show that when the density of the region is proportional to the distance from the -axis, the first moment about the -axis is
Short Answer
The moment of inertia about x-axis is
Chapter 13: Q. 19 (page 1038)
Show that when the density of the region is proportional to the distance from the -axis, the first moment about the -axis is
The moment of inertia about x-axis is
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Get started for freeEvaluate the sums in Exercises .
Use the results of Exercises 59 and 60 to find the centers of masses of the laminæ in Exercises 61–67.
In the following lamina, all angles are right angles and the density is constant:
State Fubini's theorem.
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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