A) 1000 N
B) 3000 N
C) 4000 N
D) 5000 N
Correct Answer: D
Solution :
Invoking work energy theorem on the system encapsulated by the dotted boundary: \[T{{a}_{A}}+2T{{a}_{B}}=0\] \[\Rightarrow \]\[{{a}_{A}}=-2{{a}_{B}}\] or,\[{{a}_{B}}=\frac{-{{a}_{A}}}{2}=\frac{-4}{2}=-2\frac{cm}{{{s}^{2}}}=\frac{-2}{100}\,m/{{s}^{2}}\] F. B. D of block B: \[1000\,g-2T=1000{{a}_{B}}\] \[2T=1000\,g-1000{{a}_{B}}\] \[\Rightarrow \] \[T=500g-500\,{{a}_{B}}\] \[=500\times 10-500\left( \frac{-2}{100} \right)\] \[=5000+10=5010=5000\,N\] Hence, the correction option is [d].You need to login to perform this action.
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