A) \[{{60}^{o}}\]
B) \[{{45}^{o}}\]
C) \[{{30}^{o}}\]
D) \[{{75}^{o}}\]
Correct Answer: A
Solution :
\[\tau =MB\,\,\sin \,\theta \] where \[\theta ={{90}^{o}}\] \[\therefore \] \[\tau =MB\] Given, \[{{\tau }_{2}}=\frac{1}{2}{{\tau }_{1}}\] \[\therefore \] \[MB\,\,\sin \,\theta =\frac{1}{2}MB\] \[\therefore \] \[\sin \,\theta =\frac{1}{2}\] Angle of rotation is \[={{90}^{o}}-{{30}^{o}}={{60}^{o}}\]
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