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Dive into the fascinating world of mechanics with Jonathan Abbott as he explores key concepts such as motion, mass, weight, inertia, and the laws of motion. Understand the distinctions between scalar and vector quantities, including speed, velocity, and acceleration. Participants will discover practical applications like friction in real-world scenarios, the behavior of objects in motion, and simple harmonic motion. Engage with hands-on questions and laboratory activities to solidify your understanding of these fundamental principles.
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Fun Side of Mechanics By Jonathan Abbott
What Is it? • What is Mechanics? • It is the study of Motion. • Mass • Property of an object: how much stuff is in an object • Weight • How much gravity pulls on a object • Inertia • The tendency for an object to resist change in motion • Newton’s First Law • An object in motion stays in that motion until acted upon by an outside force • Newton’s Second Law • Force = Mass x Acceleration
What is it? • Force • A push or a pull • Net force • The sum of all the forces on an object • Speed • Distance/time • Displacement • Vector pointing from start to end • Velocity • Displacement/Time: a rate of change in position • Acceleration • A rate of change in velocity • Scalar vs Vector • Scalar: Only magnitude, Vector: magnitude and direction.
Bonus Questions • What is i-Hat, j-Hat, and k-Hat? • They are unit vectors. • Unit vectors have a magnitude of 1 unit and point in a particular direction. • What is Simple harmonic Motion? (What are two examples I gave last week). • Simple Harmonic Motion is when an object oscillates (like a sine or cosine function) • One example is idling on a unicycle • Another example is a mass on a spring.
Practice Questions • A car initially traveling at 6 m/s accelerates at constant acceleration of 3 m/s2 until it reaches the speed limit of 18 m/s (~40 mph). What distance does it travel during this time? • Answer: 48m • We can use average velocity to get this answer too! • A soccer ball is kicked at an angle Θ above the horizontal at velocity v. What will be the range of the soccer ball if it travels over flat ground? • Answer: Δx = v2 /g * sin (2 Θ) • So what angle will give the maximum range?
Two types of Friction: Static and Kinetic • Static friction is when two objects are not scraping with each other (not moving/sliding). • Kinetic friction is when the two objects are scraping with each other (moving/sliding).
Identify the type(s) of friction Kinetic between Skateboard and Rail Static between Feet and Skateboard
Identify the type(s) of friction Static between Wheels and road www.flickr.com/photos/question_everything/3893946197/.
Coefficient of Friction • The force of friction is given by: • Ffriction = μ * N • μ is the “coefficient of friction” • N is the normal force. (Do you remember what that was?)
Coefficient of Friction • The coefficient of static friction is usually greater than the coefficient of kinetic friction. • Usually the coefficient of friction is less than 1. • The coefficient of friction only depends on the two objects in contact
What is the best way to move this rock? Jerk it so that it starts to move. Then keep it moving http://www.flickr.com/photos/michaelimage/530418902/
Why might wet roads be a problem? • Guess what the coefficient of friction is between tires and a dry road • Answer: about .7 • Guess what the coefficient of friction is between tires and a wet road • Answer: about .4 • Source: http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/frictire.html
What is the best way to Stop a car moving on ice? Pump the brakes! http://www.flickr.com/photos/egazelle/3111507422/sizes/z/in/photostream/
LAB! • We are going to test the coefficient of friction for a whole bunch of objects. b c Θ a
Center of Mass • The center of mass is where a force (like gravity) acts on an object. • We care about the center of mass because next week when we discuss balance, the location of the center of mass is very important.