AP Central (College Board Site) - AP Physics C Mechanics, AP Physics C E&MIf you need more support for physics basics, go to YouTube and search the topic with one of the following: Khan Academy, vkiledj, or Dan Fullerton (or APlusPhysics). Lesson objectives in Orange. |

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#### How can we calculate the center of mass of an asymmetrical object?

4: Th 10/26Today,, we'll break into groups to solve center of mass problems from Chapter 9:Required: 59, 61, 62, 64, 65 Enrichment: 66, 67 These problems will require you to use the calculus and what you learned about different kinds of densities. You may want to look at the following videos for reference: If you have not yet done so, 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. Homework: Finish what you can from the above problems. QUIZ on Static Equilibrium on Friday, October 27th. |

#### How do we apply calculus to kinematics?

4: W 10/25 labFor 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 in multivariable calculus and beyond:
- Required: Ch 2 #66-68, Worksheet #1-3
- Enrichment: Worksheet #4 and AP problem on back - 2010M3
- For those in calculus this year:
- Required: Ch 2 #66, Worksheet #1-3
- Enrichmant: #68
With the second hour of class, do problems from Chapter 10 which will allow you to practice applying the rotational kinematics formulas. Required: 4, 9, 10, 12, 15, 16, 17, 18 Use the notes you took on the video you saw last night. Answers to textbook problems: (4) 7.0rad/s^{2}, (9) 262rad/s, 46m/s, 12000m/s^{2}, (10) 1.9m/s, 3.0m/s^{2}, (12) 60m, (15) 0.58rad/s^{2}, 12s, (16) (a) 6rad/s-16rad/s^{2} t+18rad/s^{4} t^{3}, (b) -16rad/s^{2} +54rad/s^{4} t^{2}, (c) 440rad/s, 470rad/s^{2}, (d) 260rad/s, (e) 330rad/s^{2}, (17) (a) 1.67rad/s^{4} t^{3} - 1.75rad/s^{3} t^{2}, (b) 0.418rad/s^{4} - 0.583rad/s^{3} t^{3}, (c) 6.4rad/s, 2.0rad, (18) -1.6rad/s^{2}, 23s.Homework: If you have not yet done so, 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. QUIZ on Static Equilibrium on Friday, October 27th. |

#### How can calculus help us in physics?

4: M 10/23Today, 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 derivatives and integrals are. We'll look particularly at position vs. time graphs and velocity vs. time graphs. Homework: If you have issues understanding how calculus applies to kinematics, rewatch some videos from the past week or read the textbook Chapter 2. 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.) |

#### How do we find the density of an object? What other kinds of densities exist?

4: F 10/20Today, we'll review what you know about density and introduce the concepts of linear and surface densities. We'll perform a lab that requires you to measure, estimate, and find other information. Homework: Watch the following videos on center of mass. Although there are quite a few videos, each one is not very long.QUIZ on Static Equilibrium on Friday, October 27th. |

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