Recent content by raytrace

  1. R

    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...
  2. R

    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...
  3. R

    Proof of an inverse Laplace Transform needed please

    Thanks for the quick reply, will try that out.
  4. R

    Proof of an inverse Laplace Transform needed please

    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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    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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    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...
  8. R

    Need help finding initial minimum speed

    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...
  9. R

    Find Intersection of Plane & Line, Does Line Lie 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...
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