Usage patterns
〈物〉を綱でつなぐto tie/secure something with a rope
We tied the boat to the shore with a rope.
綱を締めるto tie on the yokozuna's ceremonial rope belt
The new grand champion tied on his ceremonial belt in the ring.
綱が切れるfor a rope to snap/break
The rope snapped in the strong wind.
綱を引くto pull/tug on a rope
Everyone pulled the rope together with all their strength.
綱を渡るto walk across a rope (tightrope)
The circus performer walked across a high rope.
Expressions
望みの綱one's last hope; one's only hope; the last hope 綱を張るbecome a yokozuna; be a yokozuna