No chime? Do you have headphones plugged into the speaker port ont he side of the eMac?
Does the front power LED light up and the fan come on, or is it just the light? Can you feel any hum with your hand on the chassis?
Check your paperwork from the major repairs you had within the last year. Is a warranty period period specified?
If you have a voltmeter, check the PRAM battery while under load (i.e., still in the eMac battery compartment). If the battery is more than 0.1v of from the nominal 3.6v specification, replace it (see the instructions at
eMac - Do-It-Yourself). A dead PRAM battery can prevent a Mac from booting. The 1/2 AA 3.6v lithium battery is available online or in stock at places like Radio Shack.