Recent content by Recipi

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    Otto Cycle Engine Homework: Total Work & Efficiency Calculation

    I've had more of a look at (a)(i), and I've gotten a bit further, although unless I can use the efficiency to get past the problem I've encountered in my last line, I'm not sure I've done it the way the question wants (if it's right at all)? The issue now seems to be finding Td? Edit: Okay...
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    Otto Cycle Engine Homework: Total Work & Efficiency Calculation

    Homework Statement "A car has a six-cylinder Otto-cycle engine with compression ratio r = 10.6. The diameter of each cylinder is 82.5 mm. The distance that the piston moves during the compression stroke (see fig. 1) is 86.4 mm. The initial pressure of the air-fuel mixture (at point a in...
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    Strange Change of Variable of Integration

    I've been following a few derivations for quantities in classical mechanics of rotating systems, and one of the integrals is transformed in a way I've never seen before. For angle theta, angular velocity omega and angular acceleration alpha: Intuitively I can see that they've 'just' swapped...
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    Odd Form Of Eigenvalue - Coupled Masses

    Oh, God; thanks. I was getting too caught up in the linear algebra of it all just to realize the meaning of kappa. Shouldn't have gotten lazy and combined k/m into kappa; might have seen it then.
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    Odd Form Of Eigenvalue - Coupled Masses

    Yeah, it's the why that's confusing me; I was meaning to illustrate with that last part of the post that my approach was right in everything but not having the minus omega^2. It was unclear: sorry. I'll give it some thought. It feels like a tip-of-the-tongue thing: it seems vaguely familiar...
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    Odd Form Of Eigenvalue - Coupled Masses

    Odd Form Of Eigenvalue -- Coupled Masses This isn't strictly homework, since it's something I'm trying to self-teach, but it seems to fit best here. Homework Statement It's an example of applying eigenvalue methods to solve (classical) mechanical systems in an introductory text to QM...
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