A rod made of metal A is attached end to end to another rod made of metal B, making a combined rod of overall length L. The coefficients of linear expansion of metals A and B are aa and aB, respectively, and aB >a4. When the temperature of the combined rod is increased by AT the overall length increases by AL. What was the initial length of the rod of metal A? Express your answer in terms of the variables a 4, aB, AL, AT, and L.

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Chapter19: Temperature
Section: Chapter Questions
Problem 19.77CP
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A rod made of metal A is attached end to end to another rod made of metal B, making a combined rod of overall length L. The coefficients of linear expansion of
metals A and B are a and &B, respectively, and aB > a A. When the temperature of the combined rod is increased by AT the overall length increases by AL.
What was the initial length of the rod of metal A?
Express your answer in terms of the variables a 4, aB, AL, AT, and L.
Transcribed Image Text:A rod made of metal A is attached end to end to another rod made of metal B, making a combined rod of overall length L. The coefficients of linear expansion of metals A and B are a and &B, respectively, and aB > a A. When the temperature of the combined rod is increased by AT the overall length increases by AL. What was the initial length of the rod of metal A? Express your answer in terms of the variables a 4, aB, AL, AT, and L.
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