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11-30-07 - Vector Addition

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wjerlinger
wjerlinger

This document discusses concurrent and equilibrant forces. It defines concurrent forces as acting at the same time and place, with the resultant being the sum of two or more vectors. The equilibrant force is a single additional force with the same magnitude but opposite direction as the resultant, producing equilibrium when combined with the resultant. An example problem calculates the resultant and equilibrant forces of several concurrent forces acting on an object.

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Vector Addition Concurrent and Equilibrant Forces
Definitions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example Problem ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example Problem ,[object Object],[object Object],[object Object],[object Object],[object Object]
Example Problem – Not Drawn to Scale ,[object Object],[object Object],[object Object],17 N 87 N F R
Example Problem – Not Drawn to Scale ,[object Object],[object Object],[object Object],[object Object],[object Object],17 N 87 N F R = 89 N
Example Problem – Not Drawn to Scale ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],17 N 87 N (Adjacent) F R = 89 N Θ = 11 ° 17 N (Opposite)
Example Problem – Not Drawn to Scale ,[object Object],[object Object],[object Object],[object Object],Θ = 11 ° 0 ° 180 ° 169 °
Example Problem – Not Drawn to Scale ,[object Object],[object Object],[object Object],0 ° 180 ° 169 ° F R F E
Example Problem – Not Drawn to Scale ,[object Object],[object Object],[object Object],[object Object],0 ° 180 ° 169 ° F R F E 180 ° 349 °
Example Problem – Not Drawn to Scale ,[object Object],[object Object],0 ° 180 ° 169 ° F R F E 180 ° 349 °
Solve Analytically – Using equations ,[object Object],[object Object],[object Object],[object Object],[object Object]

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