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A uniform rope of length L is pulled by ...

A uniform rope of length L is pulled by a constant force F. What is the tension in the rope at a distance l from the end where it is applied?

Text Solution

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Let mass of pope is M and T be tension in the pore at point P, then, Acceleration of rope, `a=F/M`

Equation of motion of part PB is F - T = (ml) a
`impliesT = F -(ml)a = F-((M)/(L))(l)((F)/(M))=[1-(l)/(L)]F`
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