I Need to Play This Xbox 360 Game That I Installed?

I installed my friends copy of forza 2 and i have a copy but my dvd drive dont work and i want to play now is there any thing to make my xbox think that there is a disk in the dvd drive.Also i am buying a new dvd drive so.. also i did try to clean the laser so basically the whole dvd drive is busted so dont tell me any thing about cleaning.I have a usb drive if there any thing i can do with that so i can play forza 2

Thanks

Suggestion:

the only way to play an installed game is if you have the disk in the tray when you start the game. The only way to play without the disk is to mod it with jtag.