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 Thursday. ❗QUIZ on static equilibrium & TIPPING problems Tuesday, October 13th.
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?
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 hand it in next class.
If you finish early, then start watching the homework video below.
Homework: ❗QUIZ on static equilibrium & tipping problems Tuesday, October 13th. Watch the following 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.
HOUR 1:
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.
HOUR 2:
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.
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 2010M3, Ch 2#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
Homework: ❗Study for QUIZ on static equilibrium & tipping problems next class - Tuesday, October 13th. 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. Finish the above problems on kinematics with calculus. 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.
More Homework: Watch the video below on rotational kinematic variables. 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.)