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Sphere A is supported by two wires AB, AC. Find out tension in wire AC:-

(i) Before AB is cut.

(ii) Just after AB is cut.

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1 Answer
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enter image description here

enter image description here

i) Before AB is cut :

By Lami’s theorem

TABsin(160)=TACsin(140)=50sin(60)TAB=50(sin(160)sin(60))=19.75NTAC=50(sin(140)sin(60))=37.11N

ii) Just after AB is cut :

Applying static conditions of equilibrium,

$∴T_AC \sin70-50=0 \\ ∴T_AC=\dfrac {50}{\sin70 }=53.21 N …

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