A) \[\frac{4{{w}_{1}}{{w}_{2}}}{{{w}_{1}}+{{w}_{2}}}\]
B) \[\frac{{{w}_{1}}{{w}_{2}}}{{{w}_{1}}+{{w}_{2}}}\]
C) \[\frac{2{{w}_{1}}{{w}_{2}}}{{{w}_{1}}+{{w}_{2}}}\]
D) \[\frac{{{w}_{1}}+{{w}_{2}}}{2}\]
Correct Answer: A
Solution :
Equation of motion for first weight \[T={{m}_{1}}g={{m}_{1}}(g+a)\] \[\Rightarrow \] \[T-2{{m}_{1}}g={{m}_{1}}a\] ?(1) For second weight \[{{m}_{2}}g-T={{m}_{2}}(a-g)\] \[2{{m}_{2}}g-T={{m}_{2}}a\] ?(2) On solving Eqs. (1) and (2) \[T=\frac{4{{m}_{1}}{{m}_{2}}g}{({{m}_{1}}+{{m}_{2}})}\] \[=\frac{4{{w}_{1}}{{w}_{2}}}{({{w}_{1}}+{{w}_{2}})}\]You need to login to perform this action.
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