Recent content by Aesops

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    Box on a sphere is nudged- when does it fall off?

    Box on a sphere is nudged-- when does it fall off? Homework Statement A box of mass "m" is placed on a sphere of radius "r". The box is given an extremely small nudge to get it moving. (a) What is the maximum speed the ball may have without leaving the sphere? (b) At what angle from the...
  2. A

    How to prove that Γ(z+1)=zΓ(z)?

    Homework Statement I'm not sure how to prove that the Gamma function (the extension of the factorial) has the property that Γ(z+1) = zΓ(z). Homework Equations Γ(z)=\int_0^\infty t^{z-1} e^{-t}\,{\rm d}t The Attempt at a Solution Looking online, I should try integration by parts...
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