User guide
Mass distribution, center of gravity and longitudinal load-transfer engineering on an e-scooter: static F_z,f / F_z,r, dynamic ΔN = m·a·h/L, wheelie / stoppie thresholds, anti-squat / anti-dive geometry and optimal brake bias
Mass distribution is the invariant through which all longitudinal forces pass: what the motor creates, the brake dissipates, and the tire transfers to the road **fundamentally depends on the static F_z,f and F_z,r at the wheels and on the dynamic ΔN = m·a·h/L under acceleration or braking**. The canonical [«Brake system engineering» article](@/guide/brake-system-engineering.md) unpacks caliper hydraulics; [«ABS engineering»](@/guide/anti-lock-braking-system-engineering.md) — the control loop that keeps slip ratio λ in the peak-friction window; [«Smooth acceleration and throttle control»](@/guide/acceleration-and-throttle-control.md) — rider technique for launch with weight-transfer control. This deep-dive is a distinct engineering-axis that consolidates these three rider-side contexts into a single mass-distribution design discipline: where to mount the battery (deck vs stem), what wheelbase to target (1000 mm vs 1150 mm), what optimal brake bias looks like (≈70/30 vs 50/50), why an e-scooter with short wheelbase L=1000 mm and high CG h=1.2 m has **2-3× the load-transfer sensitivity of a motorcycle** with L=1400 mm and h=0.7 m. Newton's framework: a rigid body has F = m·a and ΣM = I·α; static normal forces F_z,f = mg·b/L and F_z,r = mg·a/L (where a, b are distances from CG to the front / rear axle); dynamic transfer ΔN = m·a·h/L under longitudinal acceleration. Canonical engineering sources ENG-first: Gillespie «Fundamentals of Vehicle Dynamics» SAE 1992 ISBN 978-1-56091-199-9 §1.5 (axle loads), §3 (acceleration performance), §4 (braking performance); Cossalter «Motorcycle Dynamics» 2nd ed. 2006 ISBN 978-1-4303-0861-4 §6 longitudinal dynamics; Foale «Motorcycle Handling and Chassis Design» 2nd ed. 2006 ISBN 978-84-933286-3-4; Pacejka «Tire and Vehicle Dynamics» 3rd ed. 2012 Butterworth-Heinemann ISBN 978-0-08-097016-5 §1; Wong «Theory of Ground Vehicles» 4th ed. 2008 Wiley ISBN 978-0-470-17038-0; Genta & Morello «The Automotive Chassis» Vol 1 2nd ed. 2020 Springer ISBN 978-3-030-35634-0; ISO 8855:2011 axis convention; EN 17128:2020 PLEV; ECE R78 motorcycle reference.