A rope has a length of 12 m and a mass of 16 kg. The rope hangs from a rigid support. An operator whose mass is 80 kg slides down the rope at a constant speed of 0.8 m/s. What is the tension (in N) in the rope at a point 6 m from the top when the man has slid below this point?
$.8 m / s$

Question

A rope has a length of 12 m and a mass of 16 kg. The rope hangs from a rigid support. An operator whose mass is 80 kg slides down the rope at a constant speed of 0.8 m/s. What is the tension (in N) in the rope at a point 6 m from the top when the man has slid below this point?

$.8 m / s$

TestHub · Accepted Answer

Constant speed, so the rope carries the man's full weight at his grip: 80 × 10 = 800 N The point 6 m from the top also carries the rope below it: 12 6 ​ × 16 × 10 = 80 N T = 800 + 80 = 880 N

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