An annular cylinder has an inside radius of r, and an outside radius of r2 (see figure). Its moment of inertia is I =m(r,2 + r,2), where m is the mass. The two radii are increasing at a rate of 4 centimeters per second. Find the rate at which I i changing at the instant the radii are 6 centimeters and 9 centimeters (Assume mass is a constant)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
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An annular cylinder has an inside radius of r, and an outside radius of r, (see figure). Its moment of inertia is I =
-m(r,2 + r22), where m is the mass. The two radii are increasing at a rate of 4 centimeters per second. Find the rate at which I is
changing at the instant the radii are 6 centimeters and 9 centimeters. (Assume mass is a constant.)
Transcribed Image Text:An annular cylinder has an inside radius of r, and an outside radius of r, (see figure). Its moment of inertia is I = -m(r,2 + r22), where m is the mass. The two radii are increasing at a rate of 4 centimeters per second. Find the rate at which I is changing at the instant the radii are 6 centimeters and 9 centimeters. (Assume mass is a constant.)
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