Drum won't stop filling with water

Could be the Pump. Caontact Hotpoint.

Sounds like the Drum Bearings are gone they are **** on Hotpoint..Could be quite expensive depending on age...3 years old you will need a half drum complete with Bearings approx cost £80 plus labour....if more than 4 yrs old then perhaps bearing kit plus 3 hrs labour....Hotpoint give a FREE 5 yrs parts warranty however CALL CHARGE....£105 approx parts are free.....You need to ecide if you should fix or just buy a new one........

Sounds loike the main drum bearings have failed.
Spin the drum by hand from the front, and if it feels rough, or is rumbling or grating, then the main bearigs have failed.
Quite an expensive repair, unless it is covered by the Hotpoint 5 year parts guarantee, check with Hotpoint.

hotpoint top loading washing machine serial number TS182924N MODEL NUMBER HNXR1060T8WW. machine won't spin and will not empty water, just a humming noise. number on scamatic diagram 175D275OGO71 MACHINE IS APROX 20 YEARS OLD

Sounds like it could be relatively expensive to put right.
Personally, I think you would be better in investing in a new washer, more so in view of the fact that is 7 years old.
There are numerous possibilities for the symptoms you describe.
Hope this helps you to come to a decision.

check the pump, make sure drain hose is not cloghed, ensure the belt is in the place, spin the drum a bit by pulling the belt. then give it a go.
Update me about your progress

I would check the water pump for a blockage a button or other debris may be lodged in there preventing it for operating properly eric

Do you hear the motor spinning loud whirring noise,when drum is not,if so drum belt has come off or snapped,if no noise possible brushes on motor need replacing

replace the brushes in the motor ( approx £5 parts)

the carbon dust that you mention ? on the drivebelt will//may have come from the electric motor carbon brushes especially as you sy machine is 4 yrs old you can diy inspect the brushes by removing the rear panel to access motor unplug the socket from motor then slacken belt and remove belt from pully remove the motor you will see location f brushes x2 opposit each other and normally held in position ont armature of motor by coiled pressure clip like watch spring and brush has wire embedded in it and other end a push on terminal? when these brushes wear down normally the fist indication is fast spin slows then eventually no rotation of drum? over a period of time? SO easy diy to renew brushes if as above worne down /not contacting armature? cost approx £5 here in n/west uk worth investigating and diy saving ££££s $$$$s? and i hope you have good luck hope this helps/inspires you?