overview.md

Module 3 - Constrained engineering systems

Pendulum motion

1. Creating equations of motion
   1. draw a Free body diagram
   2. draw a Kinetic diagram
   3. use kinematic constraints to create the equations of motion for the system
2. Solving equations of motion
   1. Derive and define a set of linear differential equations e.g.
      • $\ddot{x} = -\omega^2 x$
      • $\ddot{x} = \lambda x$
      • $\ddot{x} = constant$
   2. Solve this set of linear differential equations
   3. Derive and define nonlinear differential equations
   4. Use computational methods to solve nonlinear differential equations