T 3/28
W 3/29
Th 3/30
F 3/31
We'll start today's class with a brief discussion of the equations that describe simple harmonic motion. It will be a more in-depth review of the video that you watched last night.
If you missed class or if you'd like to review, watch the following video explaining the calculus of solving simple harmonic motion. This video is really similar to the lecture I would have given in class. This is one of the videos I would really pay attention to! There's a lot of important information packed in here! Watch it slowed down, pause to think about the analyses (especially in the graph section at the end), and watch it multiple times!
With any time remaining, watch the homework videos below, and start the required Oscillation AP Problems (2009M2, 1990M3, 1999M2) from the next post.
Homework: Oscillation problems due to ✏️ Google Classroom by Thursday at 10pm. Watch the following two videos on simple harmonic oscillators with springs and pendulums. Alternatively, learn about simple harmonic oscillators using the available media of your choice - textbook, internet, etc.
Small angle approximation: For small angles
θ (in radians) ≈ sin θ ≈ tan θ
Today, we'll start by going over any assessments that we have not yet reviewed. Don't forget to do your post-assessment metacognition in Google Classroom.
Then, we'll be reviewing many different aspects of oscillations including kinematic variables, forces, and energy in an oscillating system. And we'll review the in-person lab that we didn't have time for.
Then, in groups, apply what you know and solve problems with simple harmonic motion.
Required: Oscillation AP Problems (2009M2, 1990M3, 1999M2)
Homework: Oscillation problems due to ✏️ Google Classroom by Thursday at 10pm.
Optional "Grade Insurance" Pivot Lab: If you want an additional experience, do this lab in ↩️ Pivot Interactives called "SHM vISLE: 5.5 Testing a mathematical model and assumptions" where we'll explore the mathematical model that we have derived for simple harmonic motion (SHM). This lab will particularly focus on lab skills which will be tested on the AP exam such as taking data, finding trends by making a graph, linearizing your graphs, and focusing on the assumptions which lead to systematic error. This lab is especially recommended for those students taking the AP exam. ABSOLUTELY no late work will be accepted past Tuesday, April 18th at 10pm. If the work is acceptable, this lab will count for a small extra lab grade in 4th marking period.
To do before AP exam: Watch the following video on LC circuits (a topic that very occasionally shows up on the AP exam), and think about how this circuit relates to the oscillation we've studied in this unit:
Today, we will study velocity dependent forces with a lab in ↩️ Pivot Interactives called "Falling Coffee Filters." In this lab, we will investigate the concepts of air resistance (drag) and terminal velocity. You'll be analyzing videos you take and graphing position vs. time and velocity vs. time in Vernier. You'll see how drag force relates to velocity.
By the end of this lab, you will be able to:
Describe the force of air resistance.
Describe the motion of an object falling in the presence of air resistance.
Describe how air resistance varies with velocity.
Name some other variables that affect air resistance other than velocity.
Name some real-life situations where air resistance is beneficial or detrimental.
Homework: Lab due in ↩️ Pivot on Friday, March 31st at 10pm. Watch the following video on velocity dependent forces. At time 6:00, pause the video and practice solving the differential equation on your own. (It will probably be faster than watching the whole video.) After you make your best attempt, fast forward to see if you were right. Then, at 17:00, listen to the notes at the end. (Just for fun, what do you get when you cross Veritasium with Myth Busters? How dangerous is a penny dropped from a skyscraper?)
Homework: The above velocity dependent force AP problems are due to ✏️ Google Classroom on Sunday, April 2nd at 10pm. Watch the following video on universal gravitation. If you remember how to use the formula for the force of gravity, skip the first 3:27, and focus on the calculation of gravitational field. As you're watching this video, relate it to what you know about electric fields and Gauss's Law.