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Question

Two masses of$$1\ kg$$ and $$5\ kg$$ are attached to the ends of a massless string passing over a pulley of negligible weight. The pulley itself is attached to a light spring balance as shown in figure. The masses start moving during this interval; the reading of spring balance will be :
1146966_f9287c5bed464057aa82140aca125607.png


A
more than 6 kg
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B
less than 6 kg
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C
equal to 6 kg
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D
none of the above
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Solution

The correct option is C less than $$6\ kg$$
$$ \begin{array}{l} \text { Let us assume thate } \\ \text { acceleration of the } \\ \text { Blocks' be (a) } \end{array} $$ 
$$ \text { FBD on } 5 \mathrm{Kg} \text { Block } $$
 $$ \Rightarrow 50-T=5 a-(1) $$
 $$ \text { F BD on 1 kg Block } $$ 
$$ \Rightarrow T-10=a-(2) $$
$$ \begin{array}{l} \text { Let us assume thate } \\ \text { acceleration of the } \\ \text { Blocks' be (a) } \end{array} $$
 $$ \text { FBD on } 5 \mathrm{Kg} \text { Block } $$ 
$$ \Rightarrow 50-T=5 a-(1) $$
 $$ \text { F BD on 1 kg Block } $$
 $$ \Rightarrow T-10=a-(2) $$
 $$ \begin{array}{l} \\ \text { on solving eq } (1) \text { and }(2) \\ \text { we get } T=16.67 N \Rightarrow 2 T=33.34 N=3.334 \mathrm{~kg} \end{array} $$ 
$$ \begin{array}{l} \\ \text { on solving eq } (1) \text { and }(2) \\ \text { we get } T=16.67 N \Rightarrow 2 T=33.34 N=3.334 \mathrm{~kg} \end{array} $$

2001103_1146966_ans_c287100413aa4013b2835d12763dfd1f.jpeg

Physics

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