Three forces with magnitudes 16 N, 12 N and 21 N are show...
Three forces with magnitudes 16 N, 12 N and 21 N are shown in the diagram below. Determine the magnitude of their resultant force and angle with the x-axis
7.63N,61°
8.71N,61°
7.63N,29°
8.71N,29°
Correct answer is B
Fx= 12cos32°-16cos26° = -4.20N (right is taken +ve and left is taken -ve)
Fy=12sin32°+16sin26°-21 = -7.63N (up is taken +ve and down is taken -ve)
R2= 4.202+7.632
⇒R2 = 75.86
⇒ R=√75.86
∴R = 8.71 N
tan θ=oppadj
⇒tan θ=7.634.20
⇒tan θ =1.8095
⇒ θ = tan−1 (1.8095)
θ = 61°
∴The angle of the resultant force with the x-axis is 61°
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