In the arrangement shown if the surface is smooth the acceleration of block m2
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Answer:
Let, a
1
,a
2
are acceleration of the masses m
1
,m
2
. and in this system, a
1
=a
2
+a
2
=2a
2
For block m on the table, the tension, i.e, T=m
1
a
1
....(1)
Equation of motion of the hanging block is m
2
a
2
=m
2
g−2T.....(2)
m
2
a
2
=m
2
g−2m
1
a
1
=m
2
g−4m
1
a
2
a
2
(m
2
+4m
1
)=m
2
g
a
2
=
4m
1
+m
2
m
2
g
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