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jereldc
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Homework Statement
an isosceles with base=a, height=h. It has uniform density and negligible thickness.
Homework Equations
determine it's centre of mass by integration,using more than one orientation
PHP:
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.