A person of mass M stands in the middle of a tightrope, which is fixed at the en

Question

A person of mass M stands in the middle of a tightrope, which is fixed at the ends to two buildings separated by a horizontal distance L. The rope sags in the middle, stretching and lengthening the rope slightly.

a) if the tightrope walker wants the rope to sag vertically by no more than a heigth, and the minimum tension, T, that the rope must be able to withstand without breaking, in terms of h , g, M, and L

b) Based on your equation, explain why it is not possible to get h= 0, and give a physical interpretation

give deatiled answer please

Explanation / Answer

the downward force on the person is M * g

this is balanced by the tension in the rope (on both sides) acting at the angle of depression (?) formed by the sag

tan(?) = h/L , sin(?) = h / ?(L^2 + h^2)

M * g = 2 * T * sin(?)

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