to finds a projection of or on b – Pb= Fb
+Fa(cos(angleibtw))
Replacing a couple for an equilvalent
couple with a determined force each
–
Find the moment of the original couple by
doing the force times the distance between
them. Then find the moment of the wanted
couple by doing the force times the
distance between them. Then equate voth
answes which will have an cosine of an
angle unknown. This angle will be the
angle btweeen the new coupel and the
axis.
Replace a horizontal force by and
equivalent system of a force at O and a
couple
 replace
the force by a couple
with the same magnitude as the force. so
first of all find the moment of the
counterclockwise couple by doing its
force times the perpendicular distance to
the original force.the result will be the
curved sign couple.
If it was the opposite
way ( you are asked to replace a couple
and a force fore a single force) you will
first find the distance that force will be
form the couple by doing d = M/F the
moment will be the couple. This will give
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 Fall '06
 COREY
 Force

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