The machine could be getting too hot and switching itself off due to the thermal switch which is a safety factor on the machine to protect the motor. 
Switching the machine back on at a later time when it has cooled down will tell you if that is the fault or not. If the machine comes back on suspect dirty filteration or a possible blockage somewhere in the machine which is causing the motor to overheat.
Considering that you have a multimeter, with the machine unplugged eg (isolated from the mains) you could do  continuity checks on the plug fuse first, switch and mains cable. If these are all ok, I would probably suspect the motor; but I would have thought it unlikely as you state that the machine is only two years old, but it can happen.
                
 Neil.
                
 March 2008