question_answer

A mass M is hung with light inextensible strings as shown in the figure. The tension in the horizontal string is:

A) \[\sqrt{3}Mg\]                

B) \[\sqrt{2}Mg\]

C) \[\frac{Mg}{\sqrt{3}}\]                          

D) \[\frac{Mg}{2}\]

Correct Answer: A

Solution :

[a] \[T\,sin\,{{30}^{{}^\circ }}=Mg\] \[T\,\cos \,{{30}^{{}^\circ }}={{T}_{1}}\] \[\tan \,{{30}^{{}^\circ }}=\,\frac{Mg}{{{T}_{1}}}\] \[{{T}_{1}}=\sqrt{3}Mg\]