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Simple Machines Practice Workshop: Understanding Force and Torque in Levers

Join the Machines Practice to learn about force, friction, torque, and levers. Rules and scoring explained. Prepare for written and device testing. Explore the basics of simple machines and leverage mechanical advantage for efficiency. Build a good lever with low loss fulcrum point.

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Simple Machines Practice Workshop: Understanding Force and Torque in Levers

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  1. Machines Practice #2—Force, Friction, Torque, and Levers Mr. Burleson geaux15@hotmail.com

  2. Agenda • Introduction and Rules • Basics of Machines • Machines Practical • Homework 2

  3. Introduction and Rules • Come prepared to practices with completed homework and all your questions • Listen and participate. • Be willing to study on your own and do more work than assigned 3

  4. Machines (B)Rules • Team of 2 • No Eye Protection Required • Device must be impounded • Part 1 (Written Test) • 45% of score • Simple Machine Concepts • Simple Machine Calculations • Simple Machine History is no longer included • Part 2 (Device Testing) • 55% of score • Two Ratio Scores (15% each) • One Time Score (15%) • Chart Score (10%) • Only five types of machines • Levers (all three classes) • Inclined Plane • Wedge • Pulley (up to two double pulleys) • Wheel and Axle • Prohibited topics • Compound machines • Dynamic Calculations • Material Strengths • Potential/Kinetic Energy • Coefficient of Friction • Screw Simple Machines • Angle of Repose 4 4

  5. Machines (C)Rules • Team of 2 • No Eye Protection Required • Device must be impounded • Part 1 (Written Test) • 45% of score • Sim/Compound Machine Concepts • Sim/Compound Machine Calcs • Sim/Compound Machine History is no longer included • Part 2 (Device Testing) • 55% of score • Two Ratio Scores (15% each) • One Time Score (15%) • Chart Score (10%) • All six types of simple machines • Levers (all three classes) • Inclined Plane • Wedge • Pulley (up to two double pulleys) • Wheel and Axle • Screw • Prohibited topics • Dynamic Calculations • Material Strengths • Angle of Repose 5

  6. Scoring forMachines • Exam Score (ES) is worth maximum 45 points (45 points awarded to highest test score) • Time Score (TS) = ((240-time)/240*15 points (max 15 points) • Ratio Score (R1 and R2)=(1-(abs(AR-MR)/AR))*15 points (max 2x15 = 30 points) • Chart Score (CS) is worth 10 points (max 10 points) • 2 points for including data spanning the possible mass range • 2 points for including at least 10 data points in each data series • 2 points for proper labeling (e.g. title, team name, units) • 2 points for distinct graphs (0.5 points each up to 2 points) • 2 point for including a labeled device diagram • Violations • Competition violate TS, R1, and R2 are multiplied by 0.9 • Construction violation, if resolved during competition block or miss impound TS, R1, and R2 are multiplied by 0.7 • Team with no device, no ratio estimate or do not make an HONEST attempt TS, R1, and R2 all marked zero • Final Score (FS)=ES+MS+TS+CS (maximum of 100 points) • Tie Breakers • Best ES score • Best TS score • Best R1 • Best R2 6

  7. Basics of Simple Machines • Lever • Inclined Plane • Wheel and Axle • Wedge • Pulley • Screw, not included in Machines (B)

  8. Basic Definition of Simple Machines • A simple machine is an elementary device that has a specific movement (often called a mechanism), which can be combined with other devices and movements to form a machine. • The idea of a "simple machine" originated with the Greek philosopher Archimedes around the 3rd century BC, who studied the "Archimedean" simple machines: lever, pulley, and screw • Thus simple machines are considered to be the "building blocks" of more complicated machines. • A bicycle has wheels, levers, and pulleys

  9. Mechanical Advantage • A machine has an applied force (or effort) that works against a load force. • If there are no friction losses, the work done on the load is equal to the work done by the applied force. • This allows an increase in the output force at the cost of a proportional decrease in the distance moved by the load. • The ratio of the output force to the input force is the mechanical advantage of the machine.

  10. Efficiency • Machines lose energy through friction, deformation and wear, which is dissipated as heat. • This means the power out of the machine is less than power in. • The ratio of power out to power in is the efficiency η of the machine, and is a measure of the energy losses.

  11. What is a Lever? • A lever is a machine consisting of a beam or rigid rod pivoted at a fixed hinge, or fulcrum • The word comes from the French lever, "to raise", cf. a levant. • A lever amplifies an input force to provide a greater output force, which is said to provide leverage. • The ratio of the output force to the input force is the ideal mechanical advantage of the lever.

  12. Building a Good Lever Low Loss Fulcrum Point • Ensure device fits into the bound box, 1m x 1m x 0.5m • Ensure device is sturdy • Ensure Division B Beam is less than 80cm no matter how measured (include anything on the ends) • Ensure both Division C beams are less than 40cm no matter how measured (include anything on the ends) • Add counterweight to balance the lever (may need to be redone prior to each measurement) and use a level • Make sure it can handle the masses (15cm x 15cm x 20cm) • Reduce any sources of loss in your lever system • Strong, unbending, but very light parts especially the beams, strings, etc. • For rotating points reduce friction through metal/metal interfaces, bearings, and lubrication • Put blank paper to mark different ratio results and write clearly based upon multiple measurements • Build a transport box for protection and impound (have it fit within the bound box or 1m x 1m x 0.5m) • Practice first for accuracy and then over time for increased speed • Initial determination of which one is heavier and which one is lighter is critical for precise measurements Counterweight Ratio labels https://slideplayer.com/slide/1544490/

  13. Building a Good Lever(cont) Low Loss Fulcrum Point • Beam can be as simple as a meterstick or yard stick (lightweight and won’t bend) • Make sure that there is enough room for the masses to hang underneath (over 20 cm height, with maximum 15 cm width and 15 cm length). • Focus on the Regionals ratios first • Division B 4:1 and Division C 8:1 • Get the beam well balanced first • Make sure it can handle the full ratios • Get all your Chart Score • Draw your diagram • Make multiple measurements to show you your marked your ratio labels and do your charts • If you make it to State, move your fulcrum point and remeasure for those ratios • Division B 5.5:1 and Division C 10:1 • Practice for accuracy first and after you have 99% accuracy start working on speed by dividing tasks and practicing Counterweight Ratio labels https://slideplayer.com/slide/1544490/

  14. Classes of Levers • Class 1: Fulcrum in the middle: the effort is applied on one side of the fulcrum and the resistance on the other side • A crowbar or a pair of scissors. • Class 2: Resistance in the middle: the effort is applied on one side of the resistance and the fulcrum is located on the other side. • A wheelbarrow, a nutcracker, a bottle opener or the brake pedal of a car. Mechanical advantage is greater than 1. • Class 3: Effort in the middle: the resistance is on one side of the effort and the fulcrum is located on the other side • A pair of tweezers or the human mandible. Mechanical advantage is less than 1.

  15. IMA of Lever/Law of the Lever • If a and b are distances from the fulcrum to points A and B and let the force FA applied to • A is the input and the force FB applied at B is the output, the ratio of the velocities of points A and B is given by a/b, so we have the ratio of the output force to the input force, or mechanical advantage, is given by

  16. Practical • Get a ruler or meter/yardstick—this is your lever arm • Balance the lever arm on something immobile (like your finger or anything with an edge pointing up • Where does it balance? • What happens when you move it from away from the balance point? • Now try to balance something that fits on the ruler or meter stick (like an eraser, something that won’t roll) • Put one on each side of the balanced lever • Put one closer than the other • Put them the same distance apart 16

  17. What is a pulley? • A pulley is a wheel on an axle that is designed to support movement of a cable or belt along its circumference. • Pulleys are used in a variety of ways to lift loads, apply forces, and to transmit power. • Also called a block, sheave, or drum and may have a groove between two flanges around its circumference. • The drive element of a pulley system can be a rope, cable, belt, or chain that runs over the pulley inside the groove.

  18. Pulleys linked by acircular chain or belt • Below is a pulley and belt system, which operates like a Wheel and Axle, but is classified a pulley system • Pulleys have different axles • Motion is circular/angular not linear • The IMA is dependent upon the ratio of the wheels/pulleys versus the number of lines connecting • One wheel/pulley is the driver and one is the driven

  19. What is a Wheel and Axle • Wheel and Axle is a simple machine that is generally considered to be a wheel attached to an axle so that these two parts rotate together in which a force is transferred from one to the other. • The IMA is caused by the difference in radius between the wheel and axle • Either the Wheel or Axle may be the driving force

  20. Gears are also a Wheel and Axle type of machine • A gear or cogwheel is a rotating machine part having cut teeth, or cogs, which mesh with another toothed part in order to transmit torque • Usually the teeth on the one gear of identical shape, and often also with that shape (or just width) on the other gear. • Two or more gears working in tandem are called a transmission and can produce a mechanical advantage through a gear ratio and thus may be considered a simple machine.

  21. What is a Wedge? • A wedge is a triangular shaped tool, a compound and portable inclined plane, and one of the six classical simple machines. • It can be used to separate two objects or portions of an object, lift up an object, or hold an object in place. • It functions by converting a force applied to its blunt end into forces perpendicular (normal) to its inclined surfaces.

  22. What is an Inclined Plane? • An inclined plane is a flat supporting surface tilted at an angle, with one end higher than the other, used as an aid for raising or lowering a load • Can include friction (static only) for Complex Machines (C) or be frictionless for either event

  23. What is a Screw? • A screw is a mechanism that converts rotational motion to linear motion, and a torque (rotational force) to a linear force • Last simple machine invented, appeared first in ancient Greece • It can be seen that the mechanical advantage of a screw depends on its lead, P • The smaller the distance between its threads, the larger the IMA • However most actual screws have large amounts of friction

  24. Differences BetweenSimple and Complex/Compound Machines • Complex Machines includes everything in Simple Machines plus the following: • Screw Problems • Complex Machines with two or more simple machines working together as one device • Friction problems • Potential/Kinetic energy problems • Measurement device is a Class 1 lever directly in series to a Class 2 Lever, each with a beam less than 50 cm. • Scoring is the same for both events.

  25. Homework #2 • Do the Homework Generator problems for Lever Level 2 and Lever Level 3 • Figure out your design for you lever • Draw some diagrams and think about materials 25

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