Recent content by erb12c

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    What Are Common Mistakes When Calculating the Laplacian of |r|?

    Homework Statement Given: |r|=√(x^2+y^2+z^2) r=xi+yj+zk (i)Find the partial derivative with respect to x of |r|. (ii) Find the Laplacian of |r|. Homework EquationsThe Attempt at a Solution For (i) I got x/|r| but then for (ii) I got 2/r which I don't think is correct
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    Thin Rod Gravitational Potential and Field Vector

    The reason why I added θ because I thought I had to put it into spherical coordinates. I am honestly so confused I do not know where to go with this.
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    Thin Rod Gravitational Potential and Field Vector

    Okay so if I am looking at s the mass would be ∫(ρ)∫(θ) η/√(x^2+s^2) dΘdρ ? And then just split it up and integrate? Also would the bounds be (0,L) for ρ and (0, 2π) for Θ? Am I on the right track?
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    Thin Rod Gravitational Potential and Field Vector

    deleted because of formatting
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    Thin Rod Gravitational Potential and Field Vector

    Homework Statement I am having a hard time understanding where to begin with this problem. Here it is: Consider a thin rod of length L and constant density n that lies on the x-axis with endpoints at x=0 and x=L. (i) Find a formula for the gravitational potential Φ = Φ(x) at the (variable)...