EMB ERJ 145 ER/LR
Flight Crew Air Transport Pilot (ATP)
Aircraft Equipment Problem Less Severe; Flight Deck / Cabin / Aircraft Event Smoke / Fire / Fumes / Odor
Aircraft Aircraft Damaged; Flight Crew Landed in Emergency Condition; General Maintenance Action
Aircraft
On takeoff I was pilot flying. After gear retraction I called for the autopilot on at 500 AGL and noticed a burning smell. I asked the Captain if he smelled it and no sooner [did] I ask; the cabin emergency call button illuminated. We took the call from the cabin and the FA mentioned an odd smell; almost that of burning rubber. We told her we would investigate and call her right back. We continued to clean up the aircraft (flaps up; after takeoff checks; etc.). After doing these things we noticed the smell went away. The Captain had thought that it might have been the tire plant in the area emitting the smell. I entertained the possibility but also mentioned the possibility of blowing a tire because of weird feeling on rotation and was wondering if it could be a blown tire. We continued on. About 20 minutes into the flight after climbing above the weather we gave the FA one chime indicating it was safe to serve. Shortly after she called and said a lady saw something fly off the aircraft and hit the fuselage just below her window. This confirmed my suspicion of a possible blown tire. I suggested we call ATC and have them contact the airport to see if they could find any parts of our tire on the runway. About 2 Controllers down line; it was confirmed they found pieces of our tire tread on the runway. The Captain and I discussed and determined the best way to handle this was to [advise ATC]; contact the company and have the FA have passengers brace for landing.  We also looked for procedures for this type of landing. There were none. I completed a flaps 45 landing with no issues. We stopped on the runway; had the plane inspected and were cleared for taxi to the gate after confirming the tire treads had separated from the right inboard tire. After returning to gate; maintenance discovered the engine would need changed because of tire tread going through it. Engine gave no abnormal indications.
ERJ-145 First Officer reported a tire failed on takeoff causing damage to an engine.