You are designing a Rube-Goldberg Machine and time is of the upmost importance. You need to make sure you let your boss know how long it will take to get through the Rube Goldberg machine, so she can plan that it syncs well with her surprise. There are some important elements though that must be in the Rube-Goldberg.

Required Elements

They need to be connected but doesnt have to have the same object going through each step meaning a ball can hit another ball etc. You can use rough estimates for size and shape, but they need to be reasonable. Objects need to be realistic, meaning if you are using a bowling ball do not assume the mass is 5g, it is more like 5kg. You can assume it to be a solid sphere but definitely not a cylinder. Here is an example of a reasonable estimate: A ping pong balls mass is about ~3 g and is assumed to be a spherical shell and has a diameter of about 40mm. The size of this Rube Goldberg should fit in a room, it can be as small as a tabletop or fit a standard size room. NOTE: This is theoretical, it is not being built, this is ONLY A DESIGN.

It is required to have at least 4 steps, it needs to have at least:

o 1 Collision

Either elastic, inelastic, or you can use impulse.

It will be assumed that a collision takes 1.00 ms. This might help if you are using impulse to figure out force for the object being hit.

o 2 Rotational Elements

Uniform circular motion

Nonuniform circular motion

Centripetal Force

Torque

Rolling Kinetic Energy or Rotational Kinetic Energy.

Angular Momentum

o 1 Simple Harmonic Oscillator

Pendulum or Spring

Undamped or Damped

Drawing with dimensions are required. This is not EGR 150 so I am not looking for detailed drawings, but I want to be able to get an idea of what the elements are and the order of the steps.

Detailed Calculations for each element are required. I want to see the math. How did you find the time through EACH step? This is the bulk of the points for the project.

Originality. Sure, some elements might be similar between Machines, but they should be DIFFERENT! For example, many of you may use an incline plane, but it shouldnt be the same length, angle, object etc. You can use ideas from problems done in class or homework as inspiration.

Initial conditions can be made up if you want your object to be initially moving, you can just use a REASONABLE value (a ping pong ball cant travel at 100m/s, that is very unrealistic.)

Each step needs a paragraph:

o Explaining what the motion is.

o What physics concept was used. For EACH element, say what physics principle are you using (eg. Collision, Centripetal Force, etc)

o What assumptions were made of the objects in the step.

o Example: In this step, I used an inclined plane of length 1.0 meter at an angle of 45 degrees. A ping pong ball of mass 3g rolls along the plane. This step uses energy conservation where gravitational potential energy converts into rolling kinetic energy. Since the ping pong ball is hollow inside, I assume a spherical shell for its moment of inertia. The time it will take the ball to roll through this step is Rubric

Criteria

Very Poor/ or Nonexistent elements

Poor

Fair

Good

Well

Overall Design Contains all the elements and easement of flow between steps

1

Design exhibits no degree of complexity. Missing many of the steps. Missing most of the drawings and the paragraphs explaining each step.

4

Design exhibits a poor degree of complexity. Contains a few of the steps, poorly flows between the steps which are poorly explained steps and poorly detailed drawing or nonexistent paragraph or drawing.

6

Design exhibits a somewhat degree of complexity. Missing some steps, therefore flows somewhat poorly between the steps which are somewhat explained steps and somewhat detailed drawing may be missing some of the drawings or paragraphs for each step.

8

Design exhibits a fairly high degree of complexity. Contains all the steps, mostly flows easily between the steps which are fairly well explained steps and somewhat detailed drawing.

10

Design exhibits high degree of complexity. Contains all the steps, easy flow between the steps which are well explained steps and detailed drawing.

Creativity

1

Design shows no ingenuity, too similar to other coursework.

2

Somewhat creative, similar to coursework but has some deviation.

3

Somewhat creative,

Has a couple elements similar to coursework but deviates enough to be unique.

4

Mostly creative/unique,

Has a few elements similar to coursework but deviates enough to be unique.

5

Design exhibits exceptional design creativity / ingenuity.

Reasonableness/Realistic/

Accuracy

1

Completely unrealistic. Time is very unrealistic.

4

Mostly unrealistic assumptions. Assumptions for mass and size are not close to realistic values. Assumptions for physical properties like moment of inertia are very unrealistic. Time is not accurate.

6

Some unrealistic assumptions. Assumptions for mass and size are somewhat close to realistic values. Assumptions for physical properties like moment of inertia are somewhat realistic. Time is somewhat accurate.

8

An Assumption or two may be off. Assumptions for mass and size are somewhat close to mostly realistic values. Assumptions for physical properties like moment of inertia are mostly realistic. Time is mostly accurate.

10

Assumptions for mass and size are close to realistic values. Assumptions for physical properties like moment of inertia are realistic. Time estimate is accurate.

Collision Math/Physics

0

Did not do or Barely worked on.

5

Not clear, not organized, or not completed work. Physics and math are missing major physics concepts and/or big math computation errors. Does not use proper units, formulas, and computation.

10

Somewhat Clear, organized, and completed work. Physics and math are somewhat correct, A lot of math errors and/or some incorrect physics concepts. Uses some proper units, formulas, and computation.

16

Mostly Clear, organized, and completed work. Physics and math are mostly correct, minor errors in simple math or missing a minor physics concept. Uses most proper units, formulas, and computation.

20

Clear, organized, and completed work. Physics and math are correct, maybe one very minor error in simple math. Uses proper units, formulas, and computation.

Rotational Element 1 Math/Physics

0

Did not do.

5

Not clear, not organized, or not completed work. Physics and math are missing major physics concepts and/or big math computation errors. Does not use proper units, formulas, and computation.

10

Somewhat Clear, organized, and completed work. Physics and math are somewhat correct, A lot of math errors and/or some incorrect physics concepts. Uses some proper units, formulas, and computation.

16

Mostly Clear, organized, and completed work. Physics and math are mostly correct, minor errors in simple math or missing a minor physics concept. Uses most proper units, formulas, and computation.

20

Clear, organized, and completed work. Physics and math are correct, maybe one very minor error in simple math. Uses proper units, formulas, and computation.

Rotational Element 2 Math/Physics

0

Did not do.

5

Not clear, not organized, or not completed work. Physics and math are missing major physics concepts and/or big math computation errors. Does not use proper units, formulas, and computation.

10

Somewhat Clear, organized, and completed work. Physics and math are somewhat correct, A lot of math errors and/or some incorrect physics concepts. Uses some proper units, formulas, and computation.

16

Mostly Clear, organized, and completed work. Physics and math are mostly correct, minor errors in simple math or missing a minor physics concept. Uses most proper units, formulas, and computation.

20

Clear, organized, and completed work. Physics and math are correct, maybe one very minor error in simple math. Uses proper units, formulas, and computation.

Simple Harmonic Motion Math/Physics

0

Did not do.

5

Not clear, not organized, or not completed work. Physics and math are missing major physics concepts and/or big math computation errors. Does not use proper units, formulas, and computation.

10

Somewhat Clear, organized, and completed work. Physics and math are somewhat correct, A lot of math errors and/or some incorrect physics concepts. Uses some proper units, formulas, and computation.

16

Mostly Clear, organized, and completed work. Physics and math are mostly correct, minor errors in simple math or missing a minor physics concept. Uses most proper units, formulas, and computation.

20

Clear, organized, and completed work. Physics and math are correct, maybe one very minor error in simple math. Uses proper units, formulas, and computation.