A) 12 N, 6 N
B) 13 N, 5 N
C) 10 N, 8 N
D) 16 N, 2 N
Correct Answer: B
Solution :
Given, the sum of magnitude of forces \[A+B=18\] ... (i) The magnitude of resultant, \[12=\sqrt{{{A}^{2}}+{{B}^{2}}+2AB\cos \theta }\] ?. (ii) \[\tan \alpha =\frac{B\sin \theta }{A+B\cos \theta }\] \[\Rightarrow \tan {{90}^{o}}=\frac{B\sin \theta }{A+B\cos \theta }\] \[\Rightarrow \cos \theta =\frac{-A}{B}\] ?.. (iii) Solving Eqs. (i), (ii) and (iii), \[A=5N,\,B=13N\]
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