What is the ruling on taking excess ropes or wood from cargo shipments being supervised for unloading, and does their ownership revert to the worker or the company?

Those ropes and materials may belong to the company through a gift or exchange, in which case it is not permissible to take them except with their permission. They may also be discarded and abandoned by their owners, in which case there is no harm in taking them. The matter requires investigation to ascertain whether they are owned by the company or have been neglected.