A) both the scales read M kg each
B) the scale of the lower one reads M kg and of the upper one zero
C) the reading of the two scales can be anything but the sum of the readings will be M kg '
D) both the scales read M/2 kg
Correct Answer: A
Solution :
[a] The arrangement is shown in figure. |
Now, draw the free body diagram of the spring balances and block. |
For equilibrium of block, \[{{T}_{1}}=Mg\] |
where, \[{{T}_{1}}\] = Reading of \[{{S}_{2}}\] |
For equilibrium of \[{{S}_{2}},{{T}_{2}}={{T}_{1}}\] |
where, \[{{T}_{2}}=\] Reading of \[{{S}_{1}}\] |
For equilibrium of \[{{S}_{1}},\,{{T}_{2}}={{T}_{3}}\] |
Hence, \[{{T}_{1}}={{T}_{2}}=Mg\] |
So, both scales read M kg. |
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