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Austin Hoffeditz Zehv Laurence Christopher Holmes Christopher Rains

Marble Madness. Austin Hoffeditz Zehv Laurence Christopher Holmes Christopher Rains. General Information. Materials Used: Ping Pong balls .75¢ Mouse Trap .60¢ Twine .10¢ Tape .20¢ Cups .05¢ Pencil .50¢ Dominoes $2.00 Metallic Balls $1.00 Marbles $1.00 PVC pipe $2.50 Wood $2.00

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Austin Hoffeditz Zehv Laurence Christopher Holmes Christopher Rains

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  1. Marble Madness Austin Hoffeditz ZehvLaurence ChristopherHolmes ChristopherRains

  2. General Information • Materials Used: • Ping Pong balls .75¢ • Mouse Trap .60¢ • Twine .10¢ • Tape .20¢ • Cups .05¢ • Pencil .50¢ • Dominoes $2.00 • Metallic Balls $1.00 • Marbles $1.00 • PVC pipe $2.50 • Wood $2.00 • Phone (free with rebate) • Total: $10.70

  3. Concepts • Conservation of Rotational Energy: • Pendulum • Elastic Potential Energy: • Mouse Trap • Conservation of Linear Momentum : • Metal ball into Newton’s Cradle • Newton’s Cradle into Cup of Marbles • Center of Mass: • Dominoes • Projectile Motion: • From PVC pipe into Newton’s Cradle • From PVC pipe tube into dominoes • Ball rolling off wood hitting the phone underneath it • Torque: • Pencil turning as it lifts a piece of wood • Rotational Kinetic Energy: • At any point where the ball is rolling • Translational Kinetic Energy: • Ball moving through PVC pipe • Ball rolling down block of wood

  4. Equations • Conservation of Rotational Energy • L = r x mv • Elastic Potential Energy • W = .5kx² • Conservation of Linear Momentum • M₁V₁ + M₂V₂ = M₁V₃ + M₁V₄ • Center of Mass • x distance: m₁x₁ + m₂v₂/m₁ + m₂ • Y distance: m₁y₁ + m₂y₂/m₁ + m₂ • Projectile Motion • (y-y₀) = (tanθ)(x-x₀) –(g/2v₀²)(1+tan²θ)(x-x₀)² • Torque • τ = |F||r|sinθ • Rotational Kinetic Energy • .5Iw² • Translational Kinetic Energy • .5mv²

  5. In Conclusion • Troubles: • The piece of wood that is raised to drop the metal ball into the pvc pipe does not have a 100% success rate. • The dominos are susceptible to being knocked over if the project is tampered with. • Overall the project strengthened our understanding of course material in a new and exciting way.

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