Burn the Rope has nothing to do with the super popular Cut the Rope. You’re not feeding any monsters here, but burning some ropes and insects that cross your way and help you out.
Your goal is to feed the fire and burn as much rope as you can in each level to progress. The challenge is that fire only burns upwards, and you must tilt and turn your iPhone to keep the flame alive. Here is a video demo of the Burn the Rope app on the iPhone: