No need to stick anything inside the drive in most cases. Just hold the mouse/trackpad button down and then start 'er up. Keep it held down until it spits it out (takes some time, so be patient).
Tweezers are for the very few instances where some other problem prevents an eject, and you're willing to risk the damage that tweezers can inflict.
Tweezers are for the very few instances where some other problem prevents an eject, and you're willing to risk the damage that tweezers can inflict.