My 5 year old panasonic DMC-TZ27 seems to have jammed as it won't switch on!

Look dude, its a old point en shoot cam.
Dont get mad, but its time to get a better camera they arnt much now adays but to fix yours is expensive.

It's probably something to do with a lag or jam on your shutterspeed. so when you hit the button, and move you get a little blur. If its not this you might need to have your lens cleaned inside and out due to the camera zooms and catches the blurs on the lens after zooming so far in. I would recommend taking it to your local camera shop for adjustments and cleaning.

This is normal. If you hold the zoom for an extended time the lens is slower than the indicated zoom. Forcing the lens to continue to its zoomed direction.

The issue lies with the lens assembly electronics and/or motor. If possible try another lens. If that one works it is the lens. If it doesn't, it might be the switch control for the zoom action.

The systems control board has detected a problem with the auto focus lens, the focus is controlled by a tiny motor that has jammed or there is a mechanical issue with the camera lens. It will require a technician that is highly skilled to deal with the situation, but the repair cost would probably not be justified.

yes dust in mechanism or broken gear but ti not easy

I had the same problem with mine after I dropped my camera when it was opening up after turning on. It feel directly on the lens and ever sense has told be to remove the lens cap.

I’ve disassembled the camera and discovered that the zoom motor drive assembly has a small set of plastic gears inside that are quite fragile and like mine are easily broken. You’ll find the zoom motor after taking the back assembly of the camera off. It’s located on the bottom left side of the lens assembly if you're looking at the camera as if you were taking a shot.

Here’s the part no. from the Panasonic support web site.....
L6DAAAHB0001
ZOOM MOTOR
46.07

https://www.completeservicemanuals.com/panasonic/digital-camera/lumix-dmc-fz5-service-manual/prod_86.html

same problem with ours, only 7 months old. We returned to the seller under warranty, and they fixed the problem FOC. They stated "lens adjustment" on the repair invoice.
I think these machines are not as sturdy as we are led to believe, and the slightest knock or bump sends them a bit squew wiffy!

If the lens is jammed in the out position you can try holding the camera firmly and tapping/hitting it against your hand with the camera on. The lens should then retract. If this doesn't work or if you are afraid of dropping it (do it on your bed, that way it doesn't hit the floor if you _do_ drop it), you can drop it on a wood/firm surface from an inch or so up and it should retract the lens. This solution ONLY WORKS IF THE LENS IS JAMMED.