A uniform rope of mass ( \( \mathrm{m} \) ) and length \( (\mathrm{L}) \) placed on frictionless...

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A uniform rope of mass ( \( \mathrm{m} \) ) and length \( (\mathrm{L}) \) placed on frictionless horizontal ground is being pulled by two forces \( \mathrm{F}_{\mathrm{A}} \) and \( \mathrm{F}_{\mathrm{B}} \) at its ends as shown in the figure. As a result, the rope accelerates toward the right.
img src=https://penpencil-static-content.s3.ap-south-1.amazonaws.com/5eb393ee95fab7468a79d189/x87bho0m1rbkk27soylr7git0.png /
Tension (T) at the mid point of the rope is
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