A) \[\tan \theta =\frac{1}{4}\]
B) \[\tan \theta =2\]
C) \[\tan \theta =\frac{1}{2}\]
D) \[\tan \theta =4\]
Correct Answer: C
Solution :
Moment of force about point A will be given as \[\tau =F\cos \theta \times 4+F\sin \theta \times 2\] For maximum\[\tau \], \[\frac{d\tau }{d\theta }=0\] \[0=-4F\,\,\sin \theta +2F\cos \theta \] \[\tan \theta =\frac{1}{2}\]
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