ZIMSEC · Form 5 · Lower 6
Mechanical Mathematics
5 topics5 with notes
0%
Study this subject topic by topic
Progress is saved on this device. Join free to keep it everywhere.
- Kinematics Velocity v = ds/dt; acceleration a = dv/dt = d²s/dt². Conversely, s = ∫v dt and v = ∫a dt (use initial conditions for constants).
- Forces, equilibrium and friction Resolve forces into perpendicular components (usually horizontal and vertical, or parallel and perpendicular to a slope). For equilibrium, the components in each direction sum to zero. Lami's theorem: for three forces in equilibrium, P/sin α = Q/sin β = R/sin γ (angles opposite each force).
- Newton's laws and connected particles Resultant force = ma, applied in the direction of motion.
- Projectiles A particle moving under gravity only (no air resistance), with constant acceleration g downwards.
- Work, energy and power Power = rate of doing work = Fv (W). At maximum speed, the driving force equals the resistance.