Moment of inertia measures rotational inertia of an object. For single mass, I = mr². For multiple bodies, I = MR_g² where M is total mass and R_g is radius of gyration
Integration is the process of finding antiderivative of a given function. There are two types: definite integrals with limits and indefinite integrals without limits. Indefinite integrals contain arbitrary constants and are used for algebraic expressions
Center of gravity, mass, and centroid are related under certain conditions. Gravitational acceleration can be constant throughout a body. Center of mass coincides with center of gravity when gravitational acceleration is constant. Center of gravity can be a point of body or surrounding space
Wing measurements must be taken at right angle to wall. Maximum 5 trapezoidal panels including fuselage included. Chord, sweep, and panel span measurements required. Tail type and stabilizer dimensions must be specified. Static margin recommended between 12.5-5% for conventional aircraft
Center of mass is where net external force produces acceleration of body. CM location is average of all masses' positions in x-direction. CM lies inside body envelope, not just material. Symmetrical objects have CM on symmetry plane. Center of mass of compound body lies on line joining CMs of parts
Centre of gravity is the point where the weight of a body acts. Essential for large, non-uniform mass bodies. Body balanced by centre of gravity is in rotational and translational equilibrium