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 :

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

Solution

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

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