After it runs for about 10 min it shuts off - Eureka Whirlwind 4388 Bagless Upright Cyclonic Vacuum

sounds like overheating. Is the hose clear? Check if there is air being blown out somewhere from the motor, if not, the motor can't breathe.

on all vacuum cleaners the air flow cools the motor. If the filter is sufficiently clogged there would not have enough air flow to cool the motor and trips out from over heat. Clean out the filter thoroughly and try again.

If there is no clog the filters may need replaced to improve airflow

There is a thermal sensor in the motor which shuts power off if it gets too hot but usually it won't turn back on until it cools down. It seems you might have a defective switch

sounds like you have a clog some where or need to replace your filters. your machine is tripping the thermal switch thats why it only runs for 15 min

REMOVE AND CLEAN FILTERS AND YOU MAY FIND IT WILL WORK OK IF STILL CUTS OUT YOU MAY HAVE A FAULTY THERMAL CUT OUT BLOCK INSIDE THE MOTOR HOUSING
THIS HAPENS WHEN DYSON IS USED WITH CLOGGED FILTERS AND HEAT DAMAGE TO THERMAL BLOCK

AVERAGE REPAIR COST £45 - £ 69 FOR NEW REPLACEMENT

The "hidden" filter at the base of the unit is the HEPA filter, there is another filter on the side of the vacuum that you can remove and wash with water. Make sure that is washed out. If it's too dirty it will restrict air flow and the motor will overheat.

I would clean or replace filters on it check the hose to make sure it is not blocked . It sound like it is over heating and making the breaker kick off and after it cools down it resets this is caused by dirty filters or blocked hoses.

The symptoms you describe are typical of a vac that has a blockage (hence poor suction). It cuts out because it's over-heating. You need to check the hose, the filters and anywhere else where something may have got stuck. Blockages are often caused by things like paper clips, but can be caused by something as apparently harmless as a piece of paper which gets stuck and then debris builds up behind it and causes a log-jam.

it is overheating clean all suction ports well, as well as the brush. clean or replace all filters, especially the hepa. Hopefully the damage is not irreversible, if so the motor is most likely done for.