This is what the HP website says about noises in the 1610..
Unexpected noise (clicking, thumping, grinding, squealing, and so forth) from an HP all-in-one can be caused by a problem with the ink carriage or the scanner.
Follow the steps below in the order presented to determine the source and resolution for the noise.
Step one: Checking the scanner
This step applies only to products equipped with a flatbed scanner.
Step two: Checking for paper feed problems and carriage blocks
Open the scanner cover.
With the lid open, press the Start Copy button to make a copy.
The scanner mechanism should move down the glass.
If the scanner mechanism does not move and noise is present, contact HP.
If the scanner mechanism moves without noise, continue with Step two below.
Click here (buu03110) (in English) for more information on paper or carriage jams.
Step three: Service the product
If you have completed all the steps listed above and are still experiencing a problem, service the product.
So it sounds like it needs to be serviced which could get expensive. I've looked all over the web for you & Keep finding the same answer. Sorry I can't come up with a better solution for you.