2003 Daihatsu Cuore buzzing

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I have a 2003 Cuore, and it has a buzzing sound every time I accelerate too quickly, and to have the sound go away, I dab the accelerator quickly (with the clutch in, so the car doesn't jump)and the sound goes away only to return when I accelerate too quick again. I don't know what the part does or why it's acting this way. Could anybody please help?

I have found the part that makes the noise (the part in the middle of the pic):