Question

A man climbs down a rope which is connected to a tree.The breaking stress of the rope is 75℅ of his mass.Find the maximum acceleration he can climb down the rope?

Does the breaking stress here acts as the tension(T)

If so by applying F=ma downwards,

mg-T =ma(a-maximum acceleration)

T=3mg/4

mg/4=ma
a=g/4

Is this correct?

Answer 1

tension at breaking= breaking force
max tension=mass(g-a)

you are correct.

Answer 2

Thank you!