A) g
B) \[\frac{g}{2}\]
C) \[\frac{3g}{4}\]
D) \[\frac{g}{\sqrt{2}}\]
Correct Answer: B
Solution :
The acceleration of the centre of mass of theblock. \[=\frac{g}{2}\sqrt{{{(\sin \angle ACB)}^{2}}+{{(\sin \angle ACB)}^{2}}}\] \[=\frac{g}{2}\sqrt{{{\sin }^{2}}{{30}^{o}}+{{\sin }^{2}}{{60}^{o}}}\] \[=\frac{g}{2}\sqrt{{{(0.5)}^{2}}+{{(0.866)}^{2}}}=\frac{g}{2}\]
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