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Dust will harbour moisture which in turn can cause enough leakage to trip out the power. Sometimes a good clean inside will cure the problem but there are a lot of exposed wires and even when ensuring the power is off it is very easy to knock off a wire so would be better done by a repair man.
The element is also easy to fail and once it has failed can trip the RCD with a neutral earth fault again it would really need a repair man to change it. Washing machines are not easy to work with and you have to consider at 10 years old if it is worth spending money on. I think I would go for a new one?