If all pulleys are massless and string is ideal, reading of spring balance

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4-1.Newton's Laws of Motion

hard

If all the pulleys are massless and string is ideal, find the reading of spring balance

A

$\frac{{10}}{{13}}\,kg$

B

$\frac{{10}}{{7}}\,kg$

C

$\frac{{20}}{{13}}\,kg$

D

$\frac{{20}}{{7}}\,kg$

Solution

Block $A: 2 T=5(a / 2) \Rightarrow a=\frac{4 T}{5}$ $…(1)$

Block $B: 2 g-T=2(a)$ $…(2)$

$\Rightarrow 2 g-T=2 \times \frac{4 T}{5}$

$\Rightarrow \frac{13}{5} \mathrm{T}=2 \mathrm{g}$

$\mathrm{T}=\frac{10}{13} \mathrm{gN}=\frac{10}{13} \mathrm{kg}$

Reading $=\mathrm{T}=\frac{10}{13} \mathrm{kg}$

Standard 11

Physics

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