It's a phrase that's often misunderstood.
It means to pull up a ship's anchor.
It's the opposite of "to drop anchor".
No more so than "Why is a mouse when it spins." Weigh anchor is a command and a complete sentence in itself. If you were to ask: "Who would weigh anchor the most often?", or "Weigh anchor often.", then you would have a complete sentence without nonsense.
The Titanic's Anchor Weighed 16tonn
weigh down the anchor
Its' anchor, silly!
1 anchor
About a ton.
The average modern day anchor on medium sized ships is about 60 tons. The average anchor on a large ship is about 100 tons.
An anchor is a heavy object from a ship attached to along length of chain to hold the ship in one place.
I would like to find another way to weigh the boxes. Actually, you would raise the anchor when you weigh it.
Assuming your question is typoed and should read; "What does 'weigh the consequences' mean?" It is a phrase that means consider the probable outcomes of your actions before doing them.
Verb - To anchor Noun - An anchor
The links mean nothing. Rope is sometimes portrayed. Either where used to anchor ships in the age of sail.