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To find the vector component of a a vector just find its normal components and add I j k

# To find the vector component of a a vector just find its normal components and add I j k

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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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