In the arrangement shown in figure, the tension in the string connecting A and B is:
A) g
B)\[\frac{g}{9}\]
C)\[\frac{8g}{9}\]
D)\[\frac{10g}{9}\]
Correct Answer:
D
Solution :
\[5g-{{T}_{1}}=5a\] (1) \[{{T}_{1}}-3g-{{T}_{2}}=3a\] (2) \[{{T}_{2}}-1g=1a\] (3) Solving the three equations, we get \[{{T}_{2}}=\frac{10g}{9}.\] Hence, the correction option is [d].