The state-space is a function of non-linear equations

It can be numerically solved using Euler integration

Euler integration depends on an initial condition

It is then stepped via time increments to obtain a time-history simulation

Kinematics = study of motion of objects w/o regard to the mechanicism that cause the motion

motion of physical objects can be decribed by means of vectors in 3-directions

and performing a kinematic analysis

An inertia fram = a frame of refeence in which newtons laws apply

Euclidean vector = exists only in three dimensional space and comes in two types

1. bound vector: a vector from a fixed point in a frame. eg. a position vector

2. free vector: a vector that can be translated parrell to itself. eg. velocity

velocity & accel are relative to a frame of reference