A) 12 N, 6 N
B) 13 N, 5N
C) 10 N, 8 N
D) 16 N, 2 N
Correct Answer: B
Solution :
\[A+B=18\] ?(i) \[12=\sqrt{{{A}^{2}}+{{B}^{2}}+2AB\cos \theta }\] ?(ii) \[\tan \alpha =\frac{B\sin \theta }{A+B\cos \theta }=\tan 90{}^\circ \] Þ \[\cos \theta =-\frac{A}{B}\] ?(iii) By solving (i), (ii) and (iii), \[A=13N\] and \[B=5N\]
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