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Grade 12th passVectors

two forces are acting at an angle of 120 the bigger force is 40n n and resultant is perpendicular to smaller force, find the smaller force

Profile image of vipul
6 Years agoGrade 12th pass
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1 Answer

Profile image of Arun
6 Years ago
Dear Vipul
 
Answer is 20 N
 
Solution-
Tan (α) = psin (θ)/p + qcos (θ).
Alpha = 90, tan90 = 1/0.
θ = 120 = 180 - 120 = 60, sin60 = root3/2.
Cos60 = 1/2.
1/0 = p (root3/2)/p-40 (1/2).
P = 20.