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Two forces are acting at an angle 120 deg. The bigger force is 40N and the resultant is perpendicular to the smaller one. The smaller force is

Two forces are acting at an angle 120 deg. The bigger force is 40N and the resultant is perpendicular to the smaller one. The smaller force is

Grade:12th pass

2 Answers

Arun
25750 Points
6 years ago
Dear Rohit
 
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.

Because cos (180-θ) = -cos (θ).
 
 
Regards
Arun (askIITians forum expert)
Kushagra Madhukar
askIITians Faculty 628 Points
3 years ago
Dear student,
Please find the attached solution to your problem.
 
tan (α) = psin(θ) / {p + qcos(θ)}.
α = 90, tan90 = 1/0.
θ = 120 = 180 - 120 = 60, sin60 = √3/2.
Cos60 = – 1/2.
1/0 = p (√3/2) / {p – 40(1/2)}.
p = 20.
 
Hope it helps.
Thanks and regards,
Kushagra

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