Project 4: Part A: Pinball wizard designer

You and your colleagues work for Doc Brown Pinball Emporium a subsidiary of the Carver Media Group, a pinball machine manufacturer. The design of the latest machine has been divvied up and allocated to different parts of the company. Your team has been chosen to design the launch chamber and spring mounted firing plunger (i.e. system to fire the ball from the bottom to the top of the table). The team designing the second part of the table have requested that the ball enters the main table through a small swing door at the top of the launch chamber. They require the ball to enter the main table at a speed of 2 to 3 ${\rm m}/{\rm s}$ and the swing door to be placed at least 10 ${\rm cm}$ above the level of the spring mount. They say that impulse that occurs as the ball travels through their door is 0.070 ${\rm kg}\cdot{\rm m}/{\rm s}$. The mass of the ball being fired is 0.040 ${\rm kg}$ and the bottom of the firing chamber is displayed in the following diagram:

You have to design the length and the tilt of the pinball machine so that the pinball enters the table with the above conditions. The spring department has supplied you with a spring and the following representations to understand the springs performance. Design the pinball machine and supply evidence that your design will work with the supplied spring.

Learning Goals Week 4