Recent content by leialee

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    Semi-infinite slab, surface heating on a radius r=a; T=?

    Could you please explain to me at least the thought process, how Jaeger get the solution in 10.5 (4) ?
  2. L

    Semi-infinite slab, surface heating on a radius r=a; T=?

    Ah I see, its the diffusion equation in cylindrical coordinates and for stacionary case.
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    Semi-infinite slab, surface heating on a radius r=a; T=?

    Okay, so i went to look into that book again; but i still don't understand. So maybe you would be so kind to explain to me some stuff from the chapter 8.2.. Like in 8.2, why does he take equation (1) for the temperature; where does that come from? Later on in (2) i would guess this goes by the...
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    Limit case of integral with exp and modified Bessel function

    Homework Statement How to integrate this? ##\int_{0}^{A} x e^{-a x^2}~ I_0(x) dx## where ##I_0## is modified Bessel function of first kind? I'm trying per partes and looking trough tables of integrals for 2 days now, and I would really really appreciate some help. This is a part of a...
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    Semi-infinite slab, surface heating on a radius r=a; T=?

    Yeah, i checked that book out and its a bit to advanced for my knowleadge.
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    Semi-infinite slab, surface heating on a radius r=a; T=?

    Homework Statement [/B] We are heating a semi-infinite slab with a laser (radius of a stream is ##a##), which presents us with a steady surface heating (at ##z=0##), everywhere else on the surface the slab is isolated. How does the temperature change with time? Look at the limit cases: at ##t...
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    Oscillations: mass in the center of an octahedron -- eigenvalues?

    Thank you all, i solved this later on - i did drop nonlinear terms and that was it.
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    Oscillations: mass in the center of an octahedron -- eigenvalues?

    Actually the task's instruction is scpecific: all springs have the same length and are not pre-stressed.
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    Oscillations: mass in the center of an octahedron -- eigenvalues?

    True, that is one of my problems - as you don't take into account gravity, are springs pre-stressed or not? if they are relaxed and same lenghts equilibrium is still in the center, but if they are pre-stressed then equlibrium (which the task says is in the center) gives you relationship between...
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    Oscillations: mass in the center of an octahedron -- eigenvalues?

    You have an infinitesimally small mass in the center of octahedron. Mass is connected with 6 different springs (k_1, k_2, ... k_6) to corners of octahedron. Equilibrium position is in the center, you don't take into account gravity, only springs. Find normal modes and frequencies. Relevant...
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