Recent content by shawli

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    Engineering Circuits - using equivalent capacitance

    Sorry - the "C" means capacitor, I should have clarified in the question! Is this the voltage divider equation? http://www.electronics-tutorials.ws/capacitor/cap_7.html I've been trying to read up on this stuff but no, I don't actually know what it is haha.. (have yet to cover it in class)...
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    Engineering Circuits - using equivalent capacitance

    Homework Statement C1 = 1μC ; C2 = 2μC ; C3 = 3μC ; C4 = 4μC V = 12.0V If both switches are closed, what is the charge on C1? Homework Equations q = CV In parallel - V is constant across capacitors Cxy = Cx + Cy In series - q is constant across capacitors Cxy-1 = Cx-1 + Cy-1The Attempt...
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    How to do a delta-epsilon proof by contradiction?

    One half of that... so 0.5-10 (or 5-11)? Did you choose this for some specific reason or just arbitrarily? Another question -- If I'm choosing a specific value of ε here that isn't based on δ (so far as I can tell!), then do I still have to go through those initial steps of simplifying...
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    How to do a delta-epsilon proof by contradiction?

    Is it a matter of picking something that is smaller than 10-10?
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    How to do a delta-epsilon proof by contradiction?

    Homework Statement Prove that lim x→1 of x2 does not equal 1+10-10. You could use a proof by contradiction. (It is question 2.b here) Homework Equations δ-ε proofs! The Attempt at a Solution Given ε > 0, there is some number δ > 0 such that if: |x - a | < δ |x - 0 | < δ |x| < δ Then: |...
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    How to determine if angular momentum is conserved?

    Oh, to add -- the back of the book says that L is *not* conserved since the bearing of the turn table exerts a force northward onto the turntable. I don't understand where that comes from at all, could someone please clarify?
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    How to determine if angular momentum is conserved?

    Homework Statement I'm not really sure what I'm supposed to be checking for in the following question: A 60.0kg woman stands at the western rim of a horizontal turntable having a moment of inertia of 500 kg m^2 and a radius of 2.00 m. The turntable is initially at rest and is free to...
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    How can an inequality be manipulated to show a specific range of values?

    Ah right... it's staring me right in the face! So clear that I missed it haha. Thank you!
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    How can an inequality be manipulated to show a specific range of values?

    In an example in my textbook, it says the following: "If -1 ≤ x ≤ 1, then 0 ≤ x2 ≤ 1. " Can someone explain to me how to move from the first statement to the second statement please? I'm not quite sure how the -1 turned into a 0...
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    Finding centre of mass of an isosceles triangle

    Update! I think I did it successfully by the integration method :D My answer to the original question about energy came out to be 3.21 x 108 J, whereas the textbook answer is 3.57 x 108 J. I think I'm getting decimal place errors since the numbers come out to be so big, or so I'd like to...
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    Finding centre of mass of an isosceles triangle

    Haha that is certainly a lot simpler! But I'd like to also try with integration just as practice, to since I've never done this before... I've attached another picture of my progress so far. How is it looking? I'm a bit lost on where to go from here, and if I'm even on the right track at...
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    Finding centre of mass of an isosceles triangle

    Whoops... maybe this makes more sense?
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    Finding centre of mass of an isosceles triangle

    Hm.. I know this sounds stupid but I'm not really sure *what* to even integrate to get the equation to be in terms of y... Am I on the right track with this kind of set-up? (I've attached a picture of my 2D diagram)
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    Finding centre of mass of an isosceles triangle

    Homework Statement Explorers in the jungle find an ancient monument in the shape of a large isosceles triangle. The monument is made from tens of thousands of small stone blocks of density 3 800 kg/m3. The monument is 15.7 m high and 64.8 m wide at its base and is everywhere 3.60 m thick...
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