Appendix A:

Figure 1A: Setting up of a background to build MATLAB code

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Figure 2A: FBD of rocket using three DOF (+) angles of attack and (-) angles of attack

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Figure 3A: Transforming 2nd order ODE non-linear IVPs into a series

of 1st order ODE non-linear IVPS

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Figure 4A: Part I of the Script File for

rocket simulation

Figure 5A: Part II of the Script File for rocket simulation

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Figure 6A: Part I of the Function File for rocket simulation

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Figure 7A: Part II of the Function File for rocket simulation

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Figure 7A: Thrust curve used in simulation

Figure 8A: Main rocket built in Rocksim (simulation is based off)

Figure 9A: Dart section of rocket built in Rocksim (simulation is based off)

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Figure 10A: Rocksim simulation (used as a comparison to MATLAB simulation) Position graph on top and velocity graph on bottom

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Simulation 1: Main Rocket flight – no dart (can compare these graphs to Rocksim simulation)

Figure 11A: Matlab Simulation results using ODE45 – no dart separation

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Simulation 2: Dart simulation - 25% of mass in the dart section

Figure 12A: Matlab Simulation results using ODE45 – dart separation with 25% of total mass

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Simulation 3: dart simulation - 50% of mass in the dart section

Figure 13A: Matlab Simulation results using ODE45 – dart separation with 50% of total mass

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Simulation 4: dart simulation - 75% of mass in the dart section

Figure 14A: Matlab Simulation results using ODE45 – dart separation with 75% of total mass

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Simulation 5: dart 90% of mass in dart section

Figure 15A: Matlab Simulation results using ODE45 – dart separation with 90% of total mass

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Appendix B:

Figure 1B: Shear pin analysis

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𝜎 =Pi =

𝜎 =Pi =

Figure 2B: Determining internal pressure to achieve shear force of 314N

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Figure 3B: Determining radial pressure on airframe walls

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Figure 4B: Simplification tree for shearing a shear pin

Case II Section

Case I Section

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Case I:

Figure 5B: Shear pin results

Figure 6B: Case I radial pressure results

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Case II

Figure 7B: Case II radial pressure results Ignore section – out of

bounds of actual pressure