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F 3/28
T 4/1
W 4/2
Th 4/4
🔴 2: F 3/28, 🟡 4: F 3/28, 🔵 8: F 3/28 - gravitational field
🔴 2: F 3/28, 🟡 4: F 3/28, 🔵 8: F 3/28 - gravitational field
Today, we'll start with a brief video about potential energy versus position graphs. We'll use a physical analogy of a hill as a model of how to think about these types of problems. This discussion will help you solve the last problem in the required set below.
Homework: Finish gravitational field problems above. Watch the following video on Kepler's Laws:
🟥 2: W 4/2 lab, 🟨 4: T 4/1 lab, 🟦 8: T 4/1 lab - orbits & heavy rope
🟥 2: W 4/2 lab, 🟨 4: T 4/1 lab, 🟦 8: T 4/1 lab - orbits & heavy rope
Periods 4 & 8 - Because of our snow day, these two topics will be self-study. The unit test will include these topics. It is also important to watch the homework videos below on simple harmonic motion (oscillations).
Hour 1: Today, you'll work on the following AP problems to check your understanding of Kepler's Laws.
If you're wondering why 1994M3 part d has two correct answers that seem totally different, check out this article:
Hour 2: Watch the following two videos - they're the same problem with two different methods which are both useful:
Method 1: small mass dm, constant applied force, finite distance y
Method 2: whole mass remaining, changing applied force, force constant for very small distance dx
Watch the following video on simple harmonic motion (SHM):
Check out this video for a better understanding of "angular frequency" ω (aka frequency of oscillation) and how it relates to the angular speed ω we already studied in rotation:
❤️ 2: Th 4/4, 💛 4: W 4/2, 💙 8: W 4/2 - simple harmonic motion
❤️ 2: Th 4/4, 💛 4: W 4/2, 💙 8: W 4/2 - simple harmonic motion
Today, we'll continue 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).
Homework: Finish oscillation problems above. More Mechanics Unit Assessment on Thursday, April 10th (marking period 3). 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
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