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GreenGoblin
Member
- Feb 22, 2012
- 68
Which of the following are dimensionally consistent:
[TEX]U = \frac{EA\delta^{2}}{2\ell}, F = \frac{EA\delta}{l} + mg\ell[/TEX].
Right so. I get the concept, but the thing is I don't have (nor do I know where to find) expressions for each of these components. A is area so that is [TEX]L^{2}[/TEX]. E is a 'pressure' which I have as [TEX]ML^{-1}T^{-2}[/TEX]. This is never having done any mechanicsy type stuff before. l is just length. But thing is U is a 'potential energy', which I have no expretion for so I don't know the LHS of the first which is kind of the point of what I need to do. I also don't know what to do with a scalar multiple (the 1/2)? if this affects it at all? And the delta, I have no indication what it represents.
[TEX]U = \frac{EA\delta^{2}}{2\ell}, F = \frac{EA\delta}{l} + mg\ell[/TEX].
Right so. I get the concept, but the thing is I don't have (nor do I know where to find) expressions for each of these components. A is area so that is [TEX]L^{2}[/TEX]. E is a 'pressure' which I have as [TEX]ML^{-1}T^{-2}[/TEX]. This is never having done any mechanicsy type stuff before. l is just length. But thing is U is a 'potential energy', which I have no expretion for so I don't know the LHS of the first which is kind of the point of what I need to do. I also don't know what to do with a scalar multiple (the 1/2)? if this affects it at all? And the delta, I have no indication what it represents.