One problem is that when your 60 Hz AC goes to 0, your chopped AC will go to 0 too. You'll need to store energy somewhere to get across the milliseconds of no p

One problem is that when your 60 Hz AC goes to 0, your chopped AC will go to 0 too. You'll need to store energy somewhere to get across the milliseconds of no power. And your transistor, transformer, etc will need to be larger to handle the peaks.