Moment of a force about a point, equilibrium of rigid bodies with multiple forces, and centre of mass considerations.
Work done by constant forces, kinetic and potential energy, conservation of mechanical energy, work done at angles, and power P = Fv.
Linear momentum and impulse, conservation of momentum in 1D collisions, coefficient of restitution e for direct impacts.
Finding centre of mass of discrete particles and simple composite bodies using moments.
Uniform circular motion in horizontal circles, angular velocity ω, speed v = rω, centripetal acceleration v²/r, including conical pendulum problems.
Variable force impulse using integration, 2D momentum (vector form), oblique impacts on planes, and oblique collisions between particles.
Work done by variable forces using integration, Hooke's law F = λx/l for elastic strings/springs, elastic potential energy ½λx²/l, and work/energy/power in 2D.
Centres of mass by integration for uniform laminas and solids of revolution about axes.
Horizontal circular motion with variable speed, vertical circular motion on inside/outside of circles, motion in vertical circles with strings or tracks.
Dimensional analysis using fundamental dimensions M (mass), L (length), T (time) to check equation validity.
Variable force in 1D using F = ma or F = mv(dv/dx) for force depending on position or velocity.
Simple harmonic motion x = Asin(ωt) or x = Acos(ωt), SHM equation a = -ω²x, period and amplitude, damped oscillations.