# AT Cycle 8

## 10/21 - 10/26

Th 10/21

F 10/22

M 10/25

T 10/26

### π΄β 1: Th 10/21, π‘β 3: Th 10/21 - tipping

QUIZ on static equilibrium problems on TODAY!

After the quiz, we'll talk about tipping problems from Chapter 12 in the textbook. You'll learn how to determine if an object will tip. For tipping problems, you need to really THINK about the situation as you're drawing your free body diagram. You also need to think about the best choice of fulcrum. Finally, using line of action usually helps.

Required: Giancoli #38, Halliday #25+, 35, 41, 56 (not really a tipping problem)
For #25, also find the force required if the force is applied at the very top of the wheel.

Homework: Finish any of the above problems. Make sure you've watched this video. If you've taken calculus before, this may be review, but watch it anyway from a physics perspective. If you have not taken calculus before, you might watch this more carefully. We will be starting to review the calculus necessary for this course next class. If you are confused by this video, don't worry; we will address your questions next time by going over the material again, but it is important to have more than one exposure before understanding.

### π₯ 1: M 10/25 lab, π¨ 3: F 10/22 lab - integrals intro & kinematics with calculus

Today, for those who haven't completed a calculus course yet, we'll talk about the basics of derivatives and integrals, and see how this would help us with kinematics problems. You'll be grouped heterogeneously in small groups to learn about what derivatives and integrals are. We'll look particularly at velocity vs. time graphs.

Introduction to Calculus for AT Physics

Then, we'll continue our discussion of calculus in the context of kinematics. For those students who have already taken calculus, you'll be working the following Chapter 2 problems and non-uniform acceleration worksheet. (The answer to #1 is incorrect on the website; it should be 1/3 m.)

For those who have already completed one year of calculus and beyond:

• Required: Ch 2 #17, 22, 81, 82, 86, Worksheet #1-3 ****

• Enrichment: Worksheet #4 and AP problem on back - 2010M3, #104, 119

For those taking calculus for the first time this year:

• Required: Ch 2 #15, 16, 17, 22, 81, 82, Worksheet #1-2

• Enrichment: Ch 2 #86

**** There's an error in the answer for Worksheet #1 - it should be 1/3.

Homework: If you have issues understanding how calculus applies to kinematics, rewatch some videos from the past week or read the textbook Chapter 2. Make sure you've done required problems at least. Watch the video below on rotational kinematic variables. Take notes while you watch! Understanding these concepts are EXTREMELY IMPORTANT in being successful in the rest of this unit, so take the time to rewind and rewatch as needed. (When Mr. Fullerton derives centripetal acceleration in minute 13, he talks about unit vectors. "I-hat" is a unit vector magnitude 1 in the x direction. "J-hat" is a unit vector magnitude 1 in the y direction. Unit vectors are really just multipliers which turn scalar magnitudes into vectors with direction.)

### β€οΈ 1: T 10/26, π 3: M 10/25 - rotational kinematics

Daily Check-in: translational vs. rotational variables

Today, we'll do problems from Chapter 10 which will allow you to practice applying the rotational kinematics formulas.

Support: 3, 4, 10
Required: 6, 7, 14, 16, 22, 26, 28, 32
Enrichment: 8, 17, 31

Use the notes you took on the video you saw last night. If you finish early, start watching the many videos for tonight's homework.

Homework: Watch the following videos on center of mass. Although there are quite a few videos, each one is not very long.

If you can get ahead on homework videos, that'd be great. We'll need this information by Wednesday, and there are 4 longer videos to watch tomorrow.