question_answer

A body of weight 2 kg is suspended as shown in figure. The tension \[{{T}_{1}}\] in the horizontal string (in kg-wt)  is

A)  \[2/\sqrt{3}\]                                   

B)  \[\sqrt{3}/2\]

C)  \[2\sqrt{3}\]                                     

D)  2

Correct Answer: C

Solution :

\[T\sin {{30}^{o}}=2kg-wt\] \[\Rightarrow \]               \[T=4kg-wt\]                 \[{{T}_{1}}=T\cos {{30}^{o}}\]                 \[=4\cos {{30}^{o}}=2\sqrt{3}\]