frayed

Although relations between the two adversaries were frayed on occasion, Pyeongyang and Washington were able to negotiate and reach a compromise on the key issues that divided them.

Detective Columbo is always in a frayed raincoat.

The cuffs of his suit jacket are badly frayed.

That extension cord looks dangerous to me. You see where it's frayed there?

Frayed electrical cables can be very dangerous.

It's all frayed.