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Grade 11Mechanics

A uniform rope of length L, resting on a frictionless horizontal surface is pulled at a force F. What is the tension in the rope at the end where force is applied?

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Profile image of sagar kumar
8 Years agoGrade 11
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2 Answers

Profile image of Krishan Pareek
8 Years ago
F, if we move towards the other end the value of tension decreases and it will become zero at the other end.
Profile image of Rishi Basumatary
ApprovedApproved Tutor Answer8 Years ago
Mass per unit length of rope = M/L
Acceleration in the rope = F/M
Let 'T' be the tension in the rope at a distance 'l' from the end where force 'F' is applied. 
Mass of length (L - l) of the rope is M' = M/L(L - l)
As tension 'T' is the only force on the length (L- l) of the rope, so
T = M'(F/M) = {M/L(L - l)}x{F/M} = (1 - l/L) x F