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Physics Core/AP 1 and 2

Chapter 11: 1-6 Assignment

Course Materials are always under revision! Weblecture content may change anytime prior to two weeks before scheduled chat session for content.

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Homework

Physics 11: 1-6 Simple Harmonic Motion

Homework

Reading Preparation

Text Reading: Giancoli, Physics - Principles with Applications, Chapter 11: 1-6

Study Points

Key Equations

  • Force exerted by spring: F   =   kx
  • Frequency and period: f   =   1 T     T   =   1 f    
  • Maximum potential energy of simple harmonic oscillator (A = amplitude) E   =   ½ k A 2
  • Mechanical energy at any extension x: ½ m v 2   +   ½ k x 2   =   ½ k A 2
  • Velocity at any extension x: v 2   =   k m ( A 2   x 2 )   v max   =   k m   A
  • Freqency and period in terms of mass and spring constant k: T   =   2   π m k   f   =   1 T   =   1 2   π k m
  • Position as a function of time: x   =   A   cos   θ   =   A   cos   ω t   =   A   cos   ( 2 π ft )   =   A   cos   ( 2 π t T )
  • Period and frequency of a pendulum T   = 2 π   l g   f   =   1 T   =   1 2   π g l

Web Lecture

Read the following weblecture before chat: Harmonic Motion

Study Activity

Use the simulation below to explore pendulum motion.

  • Click on Intro to open the pendulum simulation. Displace the pendulum by dragging it to one side (note your release angle) and releasing it. Use the stopwatch to determine the period. Does the period change if you displace the pendulum to different heights?
  • Reset the simulation to initial conditions by clicking on the orange button with the circle in the lower right. Now change the length of the pendulum, and restart the simulation. Displace the pendulum to the same release angle you used before and release it. Does the period change if you change the length of the pendulum?
  • Reset the simulation to initial conditions by clicking on the orange button with the circle in the lower right. Now change the mass of the pendulum, and restart the simulation. Displace the pendulum to the same release angle you used before and release it. Does the period change if you change the length of the pendulum?
  • Add that the second pendulum, and compare periods and motions simultaneously.
  • Explore the energy simulation and note how kinetic and potential energy change as components of the total energy for the pendulum.

Physics simulation Java Applets are the product of the PHET Interactive Simulations project at the University of Colorado, Boulder.

Chat Preparation Activities

Chapter Quiz

Lab Work

If you want lab credit for this course, you must complete at least 12 labs (honors course) or 18 labs (AP students). One or more lab exercises are posted for each chapter as part of the homework assignment. We will be reviewing lab work at regular intervals, so do not get behind!