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Mechanics
Moments and Centre of Mass*
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Created by
Dairhys Leckonby
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Cards (9)
Centre of Mass for x =
Sum
of the
product
of the
masses
and the respective
x
coordinate
over the
sum
of the
masses.
Position of Centre of Mass for a Hollow Hemisphere =
1/2r
from
Base
.
Position of Centre of Mass for a Semi-Circular Lamina:
4r/3Pi
from
Base.
Position of Centre of Mass for a Solid Cone or Pyramid: 1/4h from
Base.
Position of Centre of Mass for a Hollow Cone or Pyramid:
1/3h
from
Base.
Position of Centre of Mass for a Solid Hemisphere:
3/8r
from
Base.
Position of Centre of Mass for a Triangle:
2/3
from the
thin edges.
Volume of Revolution =
Integral
of the
product
of
Pi
and the
function
of
x squared
with respect to
x.
Centre of Mass using Integration :
Integral
of the
product
of
y squared
and
x
with respect to
x over
the
integral
of
y squared
with respect to
x.
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