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For what values of F and will the forces shown ... - JAMB Physics 2018 Question

For what values of F and θ will the forces shown in the diagram below be in equilibrium.

A
60N and 60\(^o\)
B
60N and 30\(^o\)
C
20√3 N and 60\(^o\)
D
20√3N and 30\(^o\)
correct option: a

Resolving the vertical component of the force, 40cosθ = 20, θ = 60\(^o\)

Resolving the horizontal component of the force, f = 40sinθ = 40sin60\(^o\)

  = 40(\(\frac{\sqrt{3}}{2}\))

  = 20√3 N

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