Welcome to Physics 211! Classical Mechanics r r F ma Mechanics Lecture 1, Course Home Page Course Home Page http://online.physics.uiuc.edu/courses/phys211/summer12/ Course Directors Lecture Discussion Doug Davis (dougd@illinois.edu) also (DDavis@eiu.edu) http://ux1.eiu.edu/~addavis/DrD/Welcome.html Robert Chamberlain (rchambe2@illinois.edu) Laboratory Bo Han (bohan2@illinois.edu) Jason Merritt (jmerrtt2@illinois.edu) Course meetings Mechanics Lecture 1, The best way to predict the future is to invent it! — Alan Kay Apple Fellow Course Structure Spiral Learning Online Prelectures (animated textbook, before lecture) Online CheckPoints (check knowledge, before lecture) Lectures (very interactive, bring notes)*** Online Homework (first deadline this Thursday) Discussion Section starts this Thursday Lab Sections start this Wednesday 05 A quick word about Homework 05 More about Homework I understand the material. I just can’t do the homework! — James 1:22 05 Additional Resources The Mechanical Universe http://www.learner.org/resources/series42.html And, . . . Just for Fun Physics of the 21st Century! http://www.learner.org/resources/series213.html 05 ACT 1 Do you have your i>clicker with you today? A) Yes, and I already registered it! B) Yes, and I’ll register it tonight! C) Yes, but it doesn’t work D) No, but PLEASE give me points anyway! 12 Course Home Page Planner 07 Course Gradebook This is official grade book, but is manually updated! All lecture and homework points will be updated on weekly. Lab and Discussion activity will be updated weekly. 08 SmartPhysics HomePage 09 SmartPhysics Progress Bars 10 Your Grade (see Course Description) Prelectures + Checkpoints + Lectures 100 Labs 150 Hour exams (3 x 100 each) 300 Final Exam 200 Homework (14) + Quizzes (9) 250 1000 Points You may miss up to 3 Prelectures, Checkpoints and Lectures and still get all 100 points! If you miss a Discussion Quiz, Lab, or Hour Exam due to illness, be sure to fill out an absence form, and bring documentation to 233 Loomis. 14 Q: What are the benefits of participating ? A: You learn more 30 Viewer Non-Viewer 25 What we learned in Physics 212 20 15 10 5 0 43 48 52 57 61 65 70 74 78 83 87 91 96 100 Exam Score Students who… Exam 1 average Viewed pre-lectures 80% Blew through pre-lectures 73% 15 Mechanics Lecture 1, Physics 211 Lecture 1 Today's Concepts: a) Displacement, Velocity, Acceleration b) 1-D Kinematics with constant acceleration If you haven't done Prelecture 1 yet, please do so later today 25 Prelecture Example 25 Prelecture Example 26 Displacement and Velocity in One Dimension Displacement Time taken 27 Displacement and Velocity in One Dimension The v(t) vs. t plot is just the slope of the x(t) vs. t plot Definition: Speed = |v(t)| 28 Displacement and Velocity in One Dimension Are the plots shown at the left correctly related A) YES B) NO 30 ACT The velocity vs. time plot of some object is shown to the right. Which diagram below could be the Displacement vs. time plot for the same object? A B C 32 Acceleration 33 Checkpoint 1 For the Displacement and Velocity curves shown on the left, which is the correct plot of acceleration vs. time? A B 35 ACT 4 Vote again A B Typical A answer For negative t, v(t) is decreasing so its derivative, a(t), must be negative. For positive t, v(t) is increasing so a(t) must be positive. Typical B answer a(t) = slope of v(t).... v(t) decreases then increases (never going negative)... this is confirmed by the displacement graph 37 Acceleration ACT A ball is thrown straight up in the air. Its position as a function of time is shown in the plot to the right. Which of the following statements is true as the ball goes up? A) B) C) D) The acceleration is positive and the ball speeds up The acceleration is negative and the ball speeds up The acceleration is positive and the ball slows down The acceleration is negative and the ball slows down 40 Constant Acceleration constant a(t) = a 42 Checkpoint 2 At t = 0 a ball, initially at rest, starts to roll down a ramp with constant acceleration. Suppose it moves 1 foot between t = 0 sec and t = 1 sec. How far does it move between t = 1 sec and t = 2 sec? A) 1 foot B) 2 feet C) 3 feet D) 4 feet E) 6 feet Ramp Demo 45 Checkpoint 2 Responses Typical A answer Since the ball moves 1 foot between t = 0 and t = 1 at constant acceleration, the ball will move the same distance between t = 1 and t = 2. Typical B answer Using the given information, the ball moves 1 foot in 1 second, so it must be accelerating at a rate of 1 foot per second per second. Between time=1 and time=2 seconds, the ball accelerates to 2 feet per second per second, so it travels 2 feet. Typical C answer when the ball moves one foot during t=0 to t=1 the acceleration is 2. The ball will move 4 feet from t=0 to t=2 with velocity 2. therefore from t=1 to t=2 it will move 4-1=3 50 Checkpoint 2 Responses 3 4ft 1ft 9ft 16ft Typical A answer Since the ball moves 1 foot between t = 0 and t = 1 at constant acceleration, the ball will move the same distance between t = 1 and t = 2. Typical B answer Using the given information, the ball moves 1 foot in 1 second, so it must be accelerating at a rate of 1 foot per second per second. Between time=1 and time=2 seconds, the ball accelerates to 2 feet per second per second, so it travels 2 feet. Typical C answer when the ball moves one foot during t=0 to t=1 the acceleration is 2. The ball will move 4 feet from t=0 to t=2 with velocity 2. therefore from t=1 to t=2 it will move 4-1=3 50