after swinging over the posin dart things were do i find the pully to get across lava pit?
Right after Sophia helps you through the gate, Indy finds himself on a ramp running along side the lava with his back to the closed gate. To the left of the gate is a ledge (across the lava). Jump onto it and work your way into a room with several crates. Move the crates around and you'll find it!