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Understanding Mechanical Systems: Principles from "Works Every Time" by Larson, Jackson, and Moore

This project investigates essential principles of mechanics as showcased in the "Works Every Time" Rube Goldberg machine. By utilizing concepts like circular motion, gravity, torque, and energy conservation, we illustrate the sequential steps of triggers, outputs, and the interplay of forces. Specific operations are explored, including the interactions between marbles, mousetraps, and pulleys. Through careful calculations and design evaluation, we identify setbacks and how they impact system functionality, emphasizing the importance of simplicity in engineering mechanics.

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Understanding Mechanical Systems: Principles from "Works Every Time" by Larson, Jackson, and Moore

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Presentation Transcript

  1. Works Every Time Eric Larson Wren Jackson Christian Moore Works Over Time ERIC LARSON WREN JACKSON CHRISTIAN MOORE

  2. Overview • Steps • Circular Motion • Inclines • Gravity • Mousetrap • Pulleys • Applied concepts • Conservation of momentum and energy • Torque • Forces

  3. Operation 1. Marble rolls around bottle onto track 2. Ball runs through track 3. Ball falls through wood boards and onto the mouse trap, triggering it

  4. Operation 6. Pulled wire goes through pulley and triggers the remote car moving car forward 5. Falling marble triggers the 2nd mouse trap, pulling wire 4. As mouse trap is triggered, the plank under 2nd marble is pulled away. Releasing marble

  5. Calculations Variables: m  mass g  gravity h  height v  velocity I  mass moment of inertia ω angular velocity k  spring constant x  distance of compression E  energy τ torque T  tension R  radius of pulley • Step I: The Decline. • Conservation of translational/rotational energy: m₁gh=½m₁v ₁ ²+½I ₁ ω ₁ ² • Step II: First Marble Drop. • Conservation of translational energy m1gh= ½ mv2 • Step III: First Mousetrap. • Energy of Mousetrap: E= ½ kx2 • Step IV: Second Drop. • Conservation of translational energy mgh = ½ mv2 • Step V: Second Mousetrap. • Energy of Second Mousetrap: E = ½ kx2 • Step VI: Pulley to Car Remote • ∑τ = T1*R+T2*R Subscripts: 1 marble p pulley

  6. Setbacks • Getting the marble to consistently land on the first mousetrap • Finding away for the second, large marble to land straight down without popping out • Making the tensions in the string just right to trigger the remote

  7. Summary • Factors that weren’t calculated affected movement of the project • Simplicity is key

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