Since the top of your white pine broke off and the needles are still green, it may have been caused by something like internal weakness or a small animal causing damage. Given your equipment, it’s important to avoid damaging the tree further. If you can’t get a chain around it, using a rope and sandbag may work to get it secured. Alternatively, contacting a professional tree service might be a safer way to handle the situation without risking injury. Waiting for it to fall naturally could be an option, but it may take time.