Simple atwood machine is hanging vertically as shown
Column-I Column-II
A Acceleration of block 2m P $\frac{g}{3}$ down
B Tension in the string attached to blocks Q $\frac{4 m g}{3}$
C Acceleration of block m R $\frac{g}{3}$ up
D Pulling force on ceiling due to pulley S $\frac{8 m g}{3}$

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$A - R; B - P; C - Q; D - S$

$A - P; B - Q; C - R; D - S$

$A - Q; B - S; C - P; D - R$

$A - S; B - R; C - P; D - Q$

answer is A.

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Detailed Solution

2mg-T=2ma..(1)

T-mg=ma...(2)

on solving we get, a=g/3

Acceleration of block 2m = $\frac{g}{3}$ down and acceleration of block m = $\frac{g}{3}$ up.
Tension in the string attached to blocks = $\frac{4 m g}{3}$

Pulling force on ceiling due to pulley= 2T= $\frac{8 m g}{3}$ .

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