Fun Side of Mechanics Overview Welcome to the Fun Side of Mechanics. This is a set of PPTs I created and used for MIT HSSP in which I taught 50 middle and high school students mechanics in a conceptual approach. These resources are free for you to use, copy, and adapt, with only a few strings attached: 1.) You must absolutely put safety first. Many slides contain the ‘physics of Unicycling.’ Some of these applications of mechanics are dangerous and you must assume all responsibility or have a way of denying any such responsibility for anyone you share this material with. 2.) I would enjoy being credited with this work, but my name/email does not need to be on any of the resources here if there resources are used for general classroom instruction. I would love to hear your comments and I will try to respond to any requests at jabbott@mit.edu. 3.) Much care has been taken to only use open-source/ creative-commons content. Please respect the use of other material and abide by their policy. Most of their content cannot be commercially sold, but it should be usable for educational creation. You might be interested in these PPT resources if: 1.) You are a teacher hoping for some cool applications of mechanics 2.) You are a student trying to preview mechanics 3.) You are a unicyclist or other sports fan trying to understand the mechanics behind what you do These resources stress conceptual understanding rather than problem solving, but can be used to try to understand actions in everyday life. Many of the pictures were created by me and are used in physics problems available as open-source content in LON-CAPA. You can access these questions through someone with a LON-CAPA account. Thank you for exploring these resources. I hope you find them intriguing, interesting, and intellectual. Jonathan Abbott MIT Mechanical Engineer Class of 2014 jabbott@mit.edu Rough Outline 1. 2. 3. 4. 5. 6. 7. Intro Newton’s Law 1&2 Forces Friction, Action Reaction Pairs, Center of Mass Balance on a Unicycle – Countersteering Momentum and Energy Rotation Impulse Harmonic and Circular Motion Review Random Topics Right Hand Rule Gyroscopes Fun Side of Mechanics Overview FUN SIDE OF MECHANICS: DAY 1! W HAT WE ARE COVERING TODAY : Fundamentals of Physics What’s Physics? Mass Inertia Weight Forces What’s a force? Gravity Newtons First Law Net force Contact vs. Field Force Newton’s Second Law: F=ma This is where you can take notes! :D Force Diagrams Defining Motion Position, Speed, and Velocity Acceleration Scalar vs. Vector Components Units and Review M OST IMPORTANT THINGS YOU SHOULD KNOW FOR NEXT WEEK ! Newton’s First Law: An object in motion will stay in that motion until acted upon by a net external force Newton’s Second Law: Force = Mass x Acceleration Force Diagrams: Be able to draw a simple one and describe what it means. Fun Side of Mechanics Overview FUN SIDE OF MECHANICS: DAY 2! W HAT WE ARE COVERING TODAY : Review What’s Physics, Mass, Inertia, Newton’s First law, Net Force, Newton’s Second law More about Forces Parachutes! Friction (and how to move a sofa) o Kinetic o Static Newton’s Third Law Force Diagrams Center of Mass Practice M OST IMPORTANT THINGS YOU SHOULD KNOW FOR NEXT WEEK ! Friction: When is it kinetic and when is it static. Newton’s Third law: Forces always come in equal and opposite pairs. HOMEWORK: Force Diagrams: Draw at least 5 force diagrams during the next week. Fun Side of Mechanics Overview FUN SIDE OF MECHANICS: DAY 3! W HAT WE ARE COVERING TODAY : Review Newton’s First law, Net Force, Newton’s Second law, Friction: Kinetic vs. Static Share and Present force diagrams Countersteering/Overcompensating Idle on a unicycle Bunny Hop on a unicycle Balance on a rolla bolla Ride a unicycle Ride a scooter/bike Newton’s Third Law Center of Mass Practice M OST IMPORTANT THINGS YOU SHOULD KNOW FOR NEXT WEEK ! Countersteering: Turning in the opposite direction when going to make a turn Newton’s third law: forces always come in equal and opposite pairs. HOMEWORK: Force Diagrams: Ride a bike or scooter with a helmet and practice countersteering. Fun Side of Mechanics Overview FUN SIDE OF MECHANICS: DAY 4! W HAT WE ARE COVERING TODAY : Review Momentum Momentum = mass * velocity p=m*v Conservation of momentum Collision internal forces system perfectly inelastic, inelastic, elastic Energy Mechanical Energy o Kinetic Energy, Kinetic Energy of Translation: KE = ½ m v2 o Potential Energy, Gravitational Potential Energy: PEg = m g h Conservation of energy Work A change in mechanical energy Work = Force * Displacement Analysis of skateboard ollie (opt.) Position, Velocity, Acceleration Toolbox M OST IMPORTANT THINGS YOU SHOULD KNOW FOR NEXT WEEK ! Momentum: p = m * v, when is it conserved? Energy: KEt = ½ m v2, PEg = m g h, when mechanical energy conserved? HOMEWORK: Do something cool and 1.) Draw a free body diagram (forces just on the object) 2.) Draw a force diagram (all forces) 3.) Identify if there is momentum 4.) Identify the types of energy 5.) What is conserved? Fun Side of Mechanics Overview FUN SIDE OF MECHANICS: DAY 5! W HAT WE ARE COVERING TODAY : Review Translation, Momentum, Mechanical Energy Now we will talk about rotation. (like forces): Torque (like mass): Moment of Inertia (like kinetic energy of translation): Kinetic Energy of rotation (like velocity): Angular Velocity Recap: countersteering now focus on use of arms in balance Optional: use diabolo/baton Optional: Right hand rule Optional: Riding a bike with no hands M OST IMPORTANT THINGS YOU SHOULD KNOW FOR NEXT WEEK ! (formulas are not something you need to memorize, but they are useful for understanding the concept.) Torque Kinetic Energy of Rotation Moment of Inertia Angular momentum A force causing a change in rotation Energy due to rotation Like mass, how much will an spinning object resist changes in spinning Often conserved: big object spinning fast T =r x F KE = ½ I(w)2 I = ∑𝑚 𝑟2 L = I(w) HOMEWORK: Make a Concept Map of the topics we have learned so far (either a web or outline) Fun Side of Mechanics Overview FUN SIDE OF MECHANICS: DAY 6! W HAT WE ARE COVERING TODAY : Review Moment of Inertia, Torque, Angular Momentum Concept Maps Impulse J = Change in momentum p = Force * Time Why you wear a helmet Springs Elastic Potential Energy Spring Constant Lab Simple Harmonic Motion Uniform Circular Motion – go in a big circle Centripetal Force – a center seeking force that causes uniform circular motion M OST IMPORTANT THINGS YOU SHOULD KNOW FOR F UN ! Impulse Simple Harmonic Motion Uniform Circular Motion Centripetal Force A change in momentum, Force * Time When something waves back and forth When something makes a circle A center seeking force for uniform circular motion HOMEWORK: Explore a topic of interest and relate what we have learned so far. J = Δp = F * t F = m v2/r Fun Side of Mechanics Overview FUN SIDE OF MECHANICS: DAY 7! Thank you so much for coming to the Fun Side of Mechanics this summer. I hope you have had a great time in this class and learned something [fun] that you can take with you. Have a great school year. W HAT WE ARE COVERING TODAY : Researched topics (some or all): Taste of Quantum Speed Skating/Figure Skating Car Engines Jobs that involve mechanics Other stuff you want to cover? Big Review [Like a lot of stuff!] Optional: Right hand rule Precession/Gyroscopes (This is fascinating) Optional: Riding a bike with no hands (This is dangerous) Gravitational Potential Well Stable/Unstable M OST IMPORTANT THINGS YOU SHOULD KNOW FOR F UN ! Mechanics can be fun. HOMEWORK: Use what you have learned!