Power Cycling Quickly

So I grabbed this up at the thrift store today, when I got it back home I have it a quick clean and tried powering on, but it didn't seem to respond.

Turns out it is turning on, but it is turning off nearly as quickly. I tested the volts on the power supply briefly and it shows up as ten on my multimeter (States it is 9.6 V).

Any help would be appreciated. I do have a video showing what is going wrong if needed.