M 10/19
T 10/20
W 10/21
Th 10/22
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.
Today, we'll review what you know about density and introduce the concepts of linear and surface densities. We'll perform a lab together that requires you to measure, estimate, and find other information. Write up your lab, and post to βοΈ Google Classroom assignment.
If you finish early, then start watching the videos below on center of mass.
Homework: Watch the following videos on finding the center of mass of an object. 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. The third and fourth videos show you how to use the integral to find the center of mass. Sorry for the long homework.
Center of mass example with calculus:
Daily Check-in: center of mass summation
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. We'll continue these problems next hour as well.
Homework: Rewatch these videos if you need to:
Check-in: Center of mass integral
Today, we'll continue to 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 your 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 Ξ» = kx3. Then, answer the following questions in a βοΈ Google Classroom assignment.
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: