AT Cycle 10

🔴 2: W 11/2a, 🟡 4: T 11/1 - center of mass problems (1)

Daily Check-in:  center of mass summation  (a similar example if you missed class)

Today, we'll collaboratively solve center of mass problems from Chapter 9:

Support: 2, 4
Required: Sample prob 9.02, 5, 7, 8, 15, 16, 17, 114, G65
Enrichment: 14, G66, G67

These problems will require you to use the calculus and what you learned about different kinds of densities.  

Homework:  Work on at least half of the required problems from the set above.  It is very important that you do these required problems.  Also, make sure that you're comfortable with Example 9-14 on page 223 of the Giancoli textbook.  Try recreate the solution the problem from the 3rd and 4th video from last night independently.  That means to write out your own solution without watching the video.  The problem is to find the center of mass of a non-uniform rod length L where λ = kx3.  Then,  answer the following questions in a ✏️ Google Classroom assignment by Friday at 10pm.  

• How do you know that you need an integral to solve this problem? 

• What general formula do you need to use? 

• Why do you need to change the formula to dx? 

• How do you change the formula to dx?  

• How do you know which variable determines the limits? 

• How do you know where x = 0? (kind of a trick question)  

• How do I know the units of my solution are correct?

If you get stuck, rewatch the videos: 

🟥 2: W 11/2b, 🟨 4: W 11/2 - center of mass problems (2)

Daily Check-in:  center of mass integral

Today, we'll collaboratively solve center of mass problems from Chapter 9:

Support: 2, 4
Required: Sample prob 9.02, 5, 7, 8, 15, 16, 17, 114, G65
Enrichment: 14, G66, G67

These problems will require you to use the calculus and what you learned about different kinds of densities.  

Homework:  Finish all required problems you did not get to in class.  It is very important that you do these required problems.  Also, make sure that you're comfortable with Example 9-14 on page 223 of the Giancoli textbook.  Try recreate the solution the problem from the 3rd and 4th video from last night independently.  That means to write out your own solution without watching the video.  The problem is to find the center of mass of a non-uniform rod length L where λ = kx3.  Then,  answer the following questions in a ✏️ Google Classroom assignment by Friday at 10pm.  

• How do you know that you need an integral to solve this problem? 

• What general formula do you need to use? 

• Why do you need to change the formula to dx? 

• How do you change the formula to dx?  

• How do you know which variable determines the limits? 

• How do you know where x = 0? (kind of a trick question)  

• How do I know the units of my solution are correct?

If you get stuck, rewatch the videos: 

❤️ 2: Th 11/3, 💛 4: F 11/4a - moment of inertia

Today, we'll spend the period first learning about what moment of inertia is and then trying to figure out how to calculate the moment of inertia of different objects.  We'll learn formulas for moment of inertia using a summation for discrete objects and then an integral for continuous bodies.  With any time remaining, start problems from the next post.

📕 2: F 11/4, 📒 4: F 11/4b - moment of inertia problems

Today, we'll work on problems from Chapter 10 on calculating moment of inertia:

Support: 42
Required: 36, 38, 40, 43, G50, G42, G46
Enrichment: G49, G51