Nothing in this lesson is new physics; all of it is craft. The syllabus's final block asks one thing: given the manufacturer's graphs and tables, produce the numbers, and the exam tests it with chart-reading questions where the method is the answer. Every chart in the AFM and FCOM works the same way: enter with the day, follow the guide lines through the carpet, and read the result. What differs is which question each chart answers.
The five take-off limits, chart by chart
The take-off analysis runs the same day through five charts, and the performance-limited take-off mass is the lowest of the five answers (with the structural maximum standing over them all). Knowing which chart tends to win is half the exam question:
Field-length-limited (FLLTOM) — enter with OAT, pressure altitude, wind, slope and flap; bites on short runways, hot and high, with tailwind or contamination.
Climb-limited — the WAT chart, blind to the runway; bites hot and high even with kilometres of concrete to spare.
Obstacle-limited — the net-flight-path check; bites where close-in obstacles stand off the departure end while field and climb are comfortable.
Tyre-speed-limited — bites hot and high with the lower flap settings, where the lift-off TAS runs closest to the tyres' rating.
Brake-energy-limited — the VMBE check; bites hot, high and heavy with tailwind or downslope, where the reject's energy peaks.