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Cylinder on an incline

  1. Aug 11, 2007 #1
    The first part to an exam question I had to sit at the end of last year. It defeated me then, and I still can't do it now, which worries me more than a little!
    1. The problem statement, all variables and given/known data
    A solid cylinder of radius 10 cm and mass 12 kg starts from rest and rolls
    without slipping a distance L = 6:0 m down a roof that is inclined at an
    angle [tex]\theta[/tex] = 30[tex]\circ[/tex]
    Show that the acceleration of the cylinder is given by
    a= [tex]\frac{2gsin\theta}{3}[/tex]


    2. Relevant equations
    The acceleration of a block down a frictionless incline is just gsin [tex]\theta[/tex]
    The moment of inertia of a solid cylinder of mass m and radius r
    is given by I = [tex]\frac{1}{2}[/tex]mr[tex]^{2}[/tex]


    3. The attempt at a solution
    As 2, but I really don't know where the factor of two thirds comes from. The question was worth 6 marks.
     
  2. jcsd
  3. Aug 11, 2007 #2

    radou

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    Homework Helper

  4. Aug 11, 2007 #3
    Fantastic. Thanks :smile:
     
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