An annular cylinder has an inside radius of r and an outside radius of r2 (see figure). Its moment of inertia is I = 2m (r₂₁² + √₂²), 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 5 centimeters and 6 centimeters. (Assume mass is a constant.) cm²/sec C th

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