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  4. Three equal weights A, B, C of mass 2 kg each are hanging on a string passing over a fixed frictionless pulley as shown in the figure. The tension in the string connecting weights B and C is <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/375969fdde94f5dcda62df1f71bae8da-.png />

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Q. Three equal weights $A, B, C$ of mass $2\, kg$ each are hanging on a string passing over a fixed frictionless pulley as shown in the figure. The tension in the string connecting weights $B$ and $C$ is
image

Laws of Motion

Solution:

For $A: T-2 g=2 a \ldots$ (i)
$\text { For } B: T_{1}+2 g-T=2 a \,\,\,\, \ldots { (ii) }$
For $C: 2 g-T_{1}=2 a \ldots (iii)$
Adding eqn. $(i)$ and $(ii),$ we get
$T_{1}=4 a$
From eqns. $(iii)$ and $(iv)$ ,
$2 g-4 a=2 a$
or $ a=\frac{g}{3}$
From eqns. $(iv)$ and $(v)$,
$T_{1}=4 \times \frac{9.8}{3} \approx 13 N$
image