Baofeng CH-5 charger for UV-5R radio isn't working

I hear a faint rattling sound when I shake the Baofeng CH-5 charger that came with my Baofeng UV-5R radio, and when I place the radio in the cradle I get nothing, no lights, no charge.

Alas my UV-5R is beeping because it needs a battery charge.

I'm guessing it's a solder joint that failed. I opened up the case of the charger and looked, but there was nothing obvious. The only bit that might explain the rattle is a thin piece of plastic that was loose in the case, but not any bits of solder.

Time to take it in to All Hands Active for a build night for a look!