Start by counting three panels to the left of the walkthrough image you highlighted and take note of the positioning of the three levers (down, up, down).
Then start the mechanism but DON'T walk to the coal cart yet. First just watch the clamp go through it's cycle.
If I remember correctly it's down, up, down, spin to the right, open over the furnace hatch, then back to where it started.
Edit: looks like I didn't remember correctly at all!
The cycle is: spin to the right, open over furnace, THEN drop down for a pick up, then spin to the right again.
Note that moment when the clamp begins to spin to the right. See how
centrifugal force causes the clamp to "lean" toward the platform? THAT is the moment when you "jump".
One more thought (while I'm in edit mode here) even though the walkthrough image two panels to the left of the image you highlighted shows Josef running to the coal cart don't be fooled by that. Josef NEVER runs in this game (he can not). So don't fret about having enough time to get to the coal cart after you've started the mechanism. Just shrink back to normal size and walk over there.
P.S. I've removed your duplicate post in the General Puzzle Q&A forum as your difficulty is specific to the Playstation version of the game.