Grade 12th passMechanics
When resultant bisects the angle between two vectors. Then those vectors have equal magnitudes.Why?
When resultant bisects the angle between two vectors. Then those vectors have equal magnitudes.
Why?
1 Answer
Arun
Approved Tutor Answer8 Years ago① THE RESULTANT OF TWO VECTORS OF EQUAL MAGNITUDE
THAT ARE INCLINED AT AN ANGLE θ TO EACH OTHER,bisects θ.
② Let the two vectors be OA,OB ,∠AOB=θ
Let |OA|=|OB|=m
∴Let //gram of forces be AOBR, OR=resultant=r
In △ of forces isosceles △AOR, AR=OB ,
let∠AOR=α,∠OAR=β
α+α+β=180°
β=180-2α↙
But∠OAR=β=180-θ→
↘β=180-θ=180–2α
θ=2α
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