1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Homework Helper

  4. Aug 11, 2007 #3
    Fantastic. Thanks :smile:
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Cylinder on an incline
  1. Cylinder on an incline (Replies: 2)

  2. Cylinders on inclines (Replies: 2)