Question
The sum of the magnitudes of two forces acting at point is 18 and the magnitude of their resultant is 12. If the resultant is at 90∘ with the force of smaller magnitude, what are the, magnitudes of forces
Answer: Option C
:
C
Let P be the smaller force and Q be the greater force then according to problem-
P + Q = 18 ..(i)
R = √P2+Q2+2PQcosθ = 12 ..(ii)
tan ϕ = QsinθP+Qcosθ = tan 90 = ∞
∴ P + Q cos θ = 0 ..(iii)
By solving (i), (ii) and (iii) we will get P = 5 , and Q = 13
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:
C
Let P be the smaller force and Q be the greater force then according to problem-
P + Q = 18 ..(i)
R = √P2+Q2+2PQcosθ = 12 ..(ii)
tan ϕ = QsinθP+Qcosθ = tan 90 = ∞
∴ P + Q cos θ = 0 ..(iii)
By solving (i), (ii) and (iii) we will get P = 5 , and Q = 13
Was this answer helpful ?
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