A) \[\left( \frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right)g\]
B) \[{{\left( \frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right)}^{2}}g\]
C) \[\frac{{{m}_{2}}g}{{{m}_{1}}+{{m}_{2}}}\]
D) \[\frac{{{m}_{1}}g}{{{m}_{1}}+{{m}_{2}}}\]
Correct Answer: A
Solution :
\[{{m}_{1}}g={{m}_{1}}a\] ? (i) \[T-{{m}_{2}}g={{m}_{2}}a\] ? (ii) Adding equations (i) and (ii), we get \[({{m}_{1}}-{{m}_{2}})g=({{m}_{1}}+{{m}_{2}})a\] \[\Rightarrow \] \[a=\left( \frac{{{m}_{1}}-{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}} \right)g\]You need to login to perform this action.
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