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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?

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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Grade:11

2 Answers

Krishan Pareek
31 Points
6 years ago
F, if we move towards the other end the value of tension decreases and it will become zero at the other end.
Rishi Basumatary
16 Points
6 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

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