If this is your first monitor repair please be very careful,there are lots of high voltages all over the chassis not only could you hurt yourself you could also damage the monitor more than it already is.I will give you a few tips.
check the input voltage to the monitor using a voltmeter(should be 120v ac on your chassis) if that is present then you have proved that your cabinet wiring is present and correct.
with the machine switched off unscrew the chassis from the frame and check for dry joints on the solder side using good light giving special attention to to mains in plug and the lopti
always have a schematic for your chassis so you can trace and identify componants and values.
even for experienced engineers many monitor faults are very difficult to identify
in your case you have no sound coming from the monitor not even a ticking which probably points to a problem on the ac side of the power supply so you could be looking at a blown fuse,mains smoothing cap,dry joints.
all monitors schematics will show test points for voltages,these are very handy proving which parts of your chassis are operating correctly.
most monitors have similar faults the most common are dry joints,dry caps,h.o.t short usually with feed caps blown,broken tracks,on older chassis lopti can be an issue.
my advise is if your not sure dont touch but everyone has learn somewhere,its how i started.if your monitor is not valueable to you then follow my tips,learn how to read schematics,learn how to use your meter,learn what not to touch,be careful and take great pleasure when you repair your first fault.please be careful and good luck.