A) \[10m/{{s}^{2}}~\]
B) \[~5m/{{s}^{2}}\]
C) \[\frac{2}{3}m/{{s}^{2}}\]
D) Zero
Correct Answer: D
Solution :
The free body diagram showing the various forces acting on the system are: For \[{{M}_{1}},\] \[{{M}_{1}}g\sin \theta -T={{M}_{1}}a\] ?.. (i) For \[{{M}_{2}},\] \[T-{{M}_{2}}g={{M}_{2}}a\] ?.. (ii) Adding Eqs. (i) and (ii), we get \[{{M}_{1}}g\sin \theta -{{M}_{2}}g=({{M}_{1}}+{{M}_{2}})a\] \[\Rightarrow \] \[a=\frac{({{M}_{1}}\sin \theta -{{M}_{2}})g}{{{M}_{1}}+{{M}_{2}}}\] \[=\frac{\left( 10\times \frac{1}{2}-5 \right)}{10+5}g=0\]You need to login to perform this action.
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