The length of a rod is 4ft and the linear density at the center is 2 kg/ft. The measure of the linear density at a point on the rod varies directly as the third power of the measure of the distance of that point from the left end of the rod. Set-up the definite integral that will give the center of the rod.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 63P: The average density of the Sun is on the order 103kg/m3 . (a) Estimate the diameter of the Sun. (b)...
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The length of a rod is 4ft and the linear density at the center is 2 kg/ft. The measure of the linear density at a point on the rod varies directly as the third power of the measure of the distance of that point from the left end of the rod. Set-up the definite integral that will give the center of the rod.
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