Do Two Glued Metal Bars Bend Identically Due to Identical Thermal Coefficients?

AI Thread Summary
The discussion centers on whether two glued metal bars, which bend identically when heated from 0 to 20 degrees Celsius, have the same thermal coefficients. The consensus is that they must have the same thermal coefficient because they are of equal length and bend the same way under identical temperature changes. The relationship between thermal expansion and bending is conceptual, relying on the principle that equal lengths and identical bending indicate similar expansion properties. The equation ΔL=Lα(ΔT) supports this conclusion, affirming that both bars expand proportionally to their thermal coefficients. Therefore, the bars indeed have the same thermal coefficient.
cuttooth
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Homework Statement


There is a picture of two metal bars that are glued together of equal length (doesn't specify the type of metals). At 0 degrees C, they are not bent. At 20 degrees C, they are both equally bent (still attached together, bent the same way). Do they have the same or different thermal coefficients?


Homework Equations


No equations really required for this question - it's conceptual.


The Attempt at a Solution



My guess is that they have the same thermal coefficient. I just want to make sure. Thanks!
 
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cuttooth said:

The Attempt at a Solution



My guess is that they have the same thermal coefficient. I just want to make sure. Thanks!

Yes, they will have the same coefficient, since the lengths are the same.

ΔL=Lα(ΔT)
 

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