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What are concurrent forces ? |
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Answer» Solution :Concurrentforces: iflineof actionof all givenforcespassesthroughsamepointthentheseforces are calledconcurrentforces If onlyforce`VEC(f ) ` ACTON a particlethen it hasaccelerated motion. Itcannotremaininequilibrium. If force`vec(F)_(1)` and `vec(F)_(2)`act on particlethen forequilibrium`Sigma vec(F)` = means thisconditionis shownfigure  If thereforce `vec(F)_(1) vec(F)_(2)`and `vec(F)_(3)` act onaparticlethen forequilibrium `Sigma vec(F )=0` `:.vec(F)_(3)= - (vec(F)_(1)+ vec(F)_(2))` This isrepresentedin diagram shownbelow  byparallelogram LAWOF forceresultantforce of`vec(F)_(1)` and `vec(F)_(2)` is prepresented by diagonalwhenforce`vec(F)_(3)` equalto samemagnitudeis appliedinoppositedirectionparticlewillbe inequilibrium By triangleof vector `vec(PQ)+ vec(QR)= vec(RP)= 0` `:. Sigma vec(F ) = 0` if `vec(F)_(1)+ vec(F)_(2) ` and`vec(F)_(3)` makeanglewithcoordinateaxisthen forequilibrium `vec(F )_(1y)+ vec(F)_(2y)+ vec(F )_(3y) = 0` `vec(F)_(1 Z)+ vec (f )_(1x )+ vec( F)_(3z) =0` where `vec(F)_(1x), vec(F )_(1y), vec(F )_(1z)` are respectivecomponentwithx , yandaxisrespectively. |
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