Camera will not power on when lens cover is opened

I have a Fujifilm Finepix A330 (I’m assuming it’s similar enough to the A340 for the purposes of this question.) Although the camera will power on using the rear on-button, and functions normally in that respect, the camera no longer powers on when the lens cover/switch is opened (the camera just quit in the middle of an outing). I’ve looked at your A340 tutorials, but you have no guides about the lens cover/switch. Once I get the camera disassembled, what should I be looking for, as far as contacts/anatomy is concerned?