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A brass rod is 185 cm long and 1.60 cm in diameter. What

Chapter 17, Problem 24E

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QUESTION:

A brass rod is 185 cm long and 1.60 cm in diameter. What force must be applied to each end of the rod to prevent it from contracting when it is cooled from 120.0o C to 10.0o C?

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QUESTION:

A brass rod is 185 cm long and 1.60 cm in diameter. What force must be applied to each end of the rod to prevent it from contracting when it is cooled from 120.0o C to 10.0o C?

ANSWER:

Solution 24E Step 1: The tensile stress F/A,when a solid body heated or cooled is given as follows: L/L = T (F/A)/(L/L) = Y F/A = Y T F = AY T Here F force A area of cross section (A = 0.0251 m) 10 Yyoung’s modulus(Y = 9.0 × 10 Pa) 6 coefficient of linear expansion( = 19 × 10 ) T change in temperature(T = 110 C) 0

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