7CDLM01_201003ActivSheets

7CDLM01_201003ActivSheets - Physics 7C DLM 01 Overview DLM...

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Physics 7C DLM 01 Overview DLM 01 Model: Simple Harmonic Motion Act 8.1.1 A Review of Simple Harmonic Motion (~90 min) Learning Goals: To interpret the mathematical expression y(t) = A sin(2 π t/T + φ ) To understand how this expression describes the motion of an oscillating object To understand the meaning and function of the fixed phase constant, Model: Plane Waves Act 8.1.2 What Exactly is a Wave? (~50 min) Learning Goals: Clearly establish how a wave differs from an oscillation Becoming familiar with the independent parameters of waves and what determines their values Understanding polarization of waves For harmonic waves, understanding why wavelength is a dependent parameter General Announcements y Read the SHM Supplement and the first portion of the Course Notes on Waves (both found on the course web page ). y Download and print the Course Notes if you want a hard copy. They will not be sold at Navin’s or the Bookstore. y Be sure to regularly check the course web page for announcements regarding quizzes, etc.
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Physics 7C Activity 8.1.1 DLM 01 A Review of Simple Harmonic Motion A) Quick Review of Sinusoidal Functions In your table group 1) First, the easy part. Consider the function y = A sin( θ ) where A is a constant. On the board, draw a graph of y( θ ) for at least 4 complete repetitions of the function. Label the horizontal axis with both degrees and radians. What is the maximum value, y max , that y can have? For the following questions about angles, answer with both degrees and radians. What values of θ give you y = y max ? How are these values for θ related to each other? What is the minimum value, y min , that y can have? What values of θ give you y = y min ? How are these values for θ related to each other? Put your responses on the board. 2) Now a little harder. Write your answers on the board. Suppose that θ changes linearly with time, t, as follows: θ = (2 π /T) t. So now y = A sin[(2 π /T) t]. Does everything in the square brackets, [ ], after “sin” give an angle in degrees or radians? How do you know? a) What value does θ have at t = 0? At some time, t 1 later than t = 0, the value of y will be a maximum, y max , for the first time. How big is y max ? What is θ when y = y max for the first time after t = 0? Now that you have θ for this first y = y max , you can find t 1 ; write t 1 on the board. b) At some later time, t
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7CDLM01_201003ActivSheets - Physics 7C DLM 01 Overview DLM...

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