Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Certain Cylinder Proportions

  1. Aug 31, 2008 #1
    There is a cylinder of certain proportions, that when dropped, lands either on its side or one of its two ends with equal probability. A coin is too short of a cylinder. A solid pipe is too long of a cylinder. Somewhere in between is a cylinder that acts like a three-sided die. I've imagined this problem but don't know how to solve it.
  2. jcsd
  3. Aug 31, 2008 #2

    Vanadium 50

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2017 Award

    Draw a picture. (Always good advice)

    You have a cylinder that touches the ground at one point on the rim, tipped at some angle. Draw the forces acting on the cylinder and ask for what angles does the cylinder tip over to the side and for what angles does it tip back to land on an end. You now have a relation between the length of the cylinder and the random angle it lands at.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook