1.

How is the resultant of two like parallel forces obtained, using the theorem of moments ?

Answer»

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Solution :Taking moments of forces P and Q about 'c' , we get `Pbar(AC)=Qbar(BC)`
MOMENT of P about O=`Pbar(AO)`
Moment of Q about O=`Qbar(BO)`
Algebraic SUM of moments of forces about O=`Pvar(AO)+Qbar(BC)`
`=P(AC+OC)+Q(OC-BC)`
`=Pbar(AC)+Pbar(OC)+Qbar(OC)+Qbar(BC)`
`=(P+Q)bar(OC)`
`:.Pbar(AO)+Qbar(BO)=Rbar(OC)`


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