Recent content by raytrace

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    Laplace Transform, what am I doing wrong?

    Sorry for the confusion there. It's the L^{-1}\frac{s}{(s-2)(s-1)} that I can't figure out. From the transform table at the back of the book I know it turns into \frac{ae^{at}-be^{bt}}{a-b} However, I am forbidden to use partial fractions for this part and I can only use the transform in the...
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    Laplace Transform, what am I doing wrong?

    Homework Statement Solve using the Laplace Transforms (can not use partial fractions) f '(t) + \int2f(u) du = 2 + 3f(t) Homework Equations Using Laplace f '(t) gets replaced with sF(s) -f(0) \int2f(u) du gets replaced with \frac{2F(s)}{s} Please correct me if I'm wrong on...
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    Inverse Laplace transform of s/(s-a)(s-b)

    Thanks for the quick reply, will try that out.
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    Inverse Laplace transform of s/(s-a)(s-b)

    Homework Statement \frac{s}{(s-a)(s-b)} Homework Equations Now I know that it results in: [tex]\frac{ae^(at)-be^(bt)}{a-b}[\tex] The Attempt at a Solution OK, I don't have the slightest clue where to begin. Could someone point me in the right direction? I've looked at all...
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    Undergrad Applying Guass' Law to Cylindrical Symmetry

    Well, a net zero flux from a gaussian surface just means that you have an equal number of electric field lines going in as going out. Just because the flux is a net zero doesn't mean that there doesn't exist an electric field, right?
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    Undergrad Applying Guass' Law to Cylindrical Symmetry

    OK, having some trouble wrapping my head around this so would appreciate some clarification. Let us say I had a long, thin wall metal tube of radius R with a uniform charge per unit length. Would there be some magnitude of E of the electric field at a radial distance of R/2? I understand...
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    Area of a triangle by vectors - getting different answers

    The correct answer is [-120, 50, 50] for your cross products. You are screwing up when you are doing your calculations (I'm assuming you are using a CAS to input the numbers and not doing it all on paper which is why you missed it.) If you type in for CB = <0, +10, +10> and do the cross...
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    Minimum speed to eject a bale 16 feet away and 8 feet high

    Homework Statement A bale ejector consists of two variable-speed belts at the end of a baler. Its purpose is to toss bales into a trailing wagon. In loading the back of a wagon, a bale must be thrown to a position 8 feet above and 16 feet behind the ejector. Find the minimum initial speed...
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    Finding intersection of plane and line, checking if line lies in plane

    Homework Statement Find the point(s) of intersection (if any) of the plane and the line. Also determine whether the line lies in the plane. 2x-2y+z=12, x-\frac{1}{2}=-y-\frac{3}{2}=\frac{x+1}{2} Homework Equations 2x-2y+z=12 x-\frac{1}{2}=-y-\frac{3}{2}=\frac{x+1}{2} The...