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Homework Help: Centre of mass of isosceles

  1. Feb 27, 2009 #1
    1. The problem statement, all variables and given/known data
    an isosceles with base=a, height=h. It has uniform density and negligible thickness.


    2. Relevant equations
    determine it's centre of mass by integration,using more than one orientation
    PHP:
     
    3. The attempt at a solution

    It is a two-dimensional continuous structure. Let the base,a, lie on the X-axis and the Y-axis
    be axis of symmetry. Then the COM must lie on the Y-axis. Slice the triangle into strips parallel to the X-axis. Each strip is of width dy, and length l. The mass per strip,dm, is obtained through:

    mass=density x area,

    p l dy
    and the variable of integration is y as it is the axis of symmetry and integration is over 0 and h.
     
  2. jcsd
  3. Feb 27, 2009 #2

    LowlyPion

    User Avatar
    Homework Helper

    Welcome to PF.

    You will need to express l in terms y, since l is a function of y.
     
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