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# CALC A slender rod with length L has a mass per unit

ISBN: 9780321675460 31

## Solution for problem 60E Chapter 9

University Physics | 13th Edition

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Problem 60E

CALC? A slender rod with length ?L? has a mass per unit length that varies with distance from the left end, where x = 0, according to ?dm/dx? = ??x?, where ? has units of kg/m2. (a) Calculate the total mass of the rod in terms of ? and L. (b) Use Eq. (9.20) to calculate the moment of inertia of the rod for an axis at the left end, perpendicular to the rod. Use the expression you derived in part (a) to express ?I? in terms of ?M? and ?L.? How does your result compare to that for a uniform rod? Explain. (c) Repeat part (b) for an axis at the right end of the rod. How do the results for parts (b) and (c) compare? Explain.

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