A) 12 N. 6 N
B) 13 N, 5 N
C) 10 N, 8 N
D) 16 N, 2 N
Correct Answer: B
Solution :
| [b] 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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