# AT Cycle 8

## 10/19 - 10/24

Th 10/19

F 10/20

M 10/23

T 10/24

### 🔴 2: F 10/20a, 🟡 4: Th 10/19, 🔵7: Th 10/19 - tipping

Check-in #9: Tipping

Today, 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 the Ladder Lab due in class Friday. Study for QUIZ on static equilibrium problems next hour - Friday, October 20th. If you haven't watched the calculus video from last post, make sure to do that by ❤️ 2: M 10/23, 💛 4: T 10/24a, 💙7: F 10/20b.

Watch the following video which has to do with tipping. The red crosshairs on the box represent the object's center of mass. Notice that the box tips when the center of mass goes past the the support base. How can use geometry to find the incline angle at which the box will tip based on the location of the center of mass?

### 🟥❗ 2: F 10/20b, 🟨❗ 4: F 10/20, 🟦❗ 7: F 10/20a - static equilibrium & tipping

QUIZ on static equilibrium problems on TODAY!

With any time remaining, you'll finish the tipping problems in the post above.

Homework: Finish any of the above problems due in ✏️ Google Classroom on Sunday, October 22nd. If you haven't watched the calculus video yet, make sure to do that by ❤️ 2: M 10/23, 💛 4: T 10/24a, 💙7: F 10/20b.

### ❤️ 2: M 10/23, 💛 4: T 10/24a, 💙7: F 10/20b - integrals intro

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.

Homework: If you're new to integrals, review the Introduction to Calculus Presentation. Write down any questions you have, and be sure to ask your group next class. Also, try to get ahead on video watching. This is a busy week with a lot of videos to watch. It'd be best if you are working ahead slightly.

### 📕 2: T 10/24, 📒 4: T 10/24b, 📘7: M 10/23 - kinematics with calculus

Today, 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: The above problems on kinematics with calculus are due to ✏️ Google Classroom by Wednesday, October 25th at 10pm. 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.)

## Videos to watch next cycle:

There are quite a few videos to watch next cyle. For your advanced planning, here's the listing all in one place. Feel free to work ahead.

By 🟥 2: Th 10/26b, 🟨 4: Th 10/26, 🟦 7: Th 10/26a - Although there are quite a few videos, each one is not very long.

By ❤️ 2: F 10/27, 💛 4: a, 💙7: Th 10/26b - The first video shows you the theory on finding the center of mass. The second video shows you how to find the center of mass of an object using the summation.

By 📕 2: M 10/30, 📒 4: M 10/30b, 📘7: F 10/27 - These videos show you how to use the integral to find the center of mass.

Center of mass example with calculus: