The pace and organization of material, only summarized above, depends (a little) on the class dynamics. The brief content of the classes for the coming weeks will be added as we go. The “Reading” assignment is a little cursory, and a bit crude. Firstly, it does not imply that you have to understand every word; this book is extensive. (But you should be aware of almost all that is in it, and clear up most of it.) Also, we will be using particular sections of the chapters listed a little at the time, as we cover material; you do not need to “read” all of them at once, as soon as they come up in the syllabus. More specific guidance is given in class.
The suggested problems for practice are out of the book. (Unless there is a link to other posted material.) A word about problems listed here is in order: this selection is represenative – but it is not exhaustive; please add more of your choosing! (A few of these suggested problems may be less important to master right away, or are simply harder; this mostly refers to those asking you to derive or prove a formula. Please use your judgment. But at the end of the day, you want to be able to do all these, and more.) Note that listed problems do not always fit into weeks as the table layout indicates; some are appropriate earlier, and some later. (This list gets updated as we cover more material that logically fits into these topics, or get better at solving more involved problems; please check as the course proceeds.)
Please Note:
Weekly (graded) homework is normally due the next Monday, at the beginning of class.
My solutions need be posted right after, so there can be no ‘late homework.’
Please submit on time. This is the whole point.
| Week 1 |
Labs: #1 and #2
Reading: Ch 1 and 2
HW. Ch2: 9,12,47,51,53.
Introduction. Kinematics in 1 dimension.
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| 06/21 | Introduction. A little about physics, and about this sequence. Motion. Dynamics vs. kinematics. |
Suggested problems. All from Ch2. |
| 06/22 | Integration of constant acceleration yields the kinematics relations, x(t) and v(t). | |
| 06/23 | Derivation of the “third equation” of kinematics. Examples. | |
| 06/24 | (Organizational notes.) Examples drawn from the previous class: car braking. | |
| Week 2 |
Lab: #3
Reading: Ch 3 and 4
Vectors, motion, and kinematics in 2 dimensions.
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| 06/28 | Kinematics in 1D: “free fall” examples. (When acceleration is: g=9.8 m/s2.) |
Suggested problems. Ch3 and Ch4. |
| 06/29 | A rounded free fall example (in different coordinate systems). | |
| 06/30 | 2 dimensions. Coordinates. Vectors. Motion in 2D. | |
| 07/01 | Kinematics in 2D, examples. | |
| Week 3 |
Lab: #4
Reading: Ch 5 and 6
Kinematics in 2D. Dynamics; Newton's Laws.
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| 07/05 | Independce Day (4th of July) observed |
Suggested problems. Ch5 and Ch6. |
| 07/06 | Kinematics in 2D, examples and problems. | |
| 07/07 | Kinematics in 2D, further examples. | |
| 07/08 | Kinematics. Dynamics and Newton's Laws, introduction. | |
| Week 4 |
Lab: #5
Reading: Ch 6 and 7
Newton's Laws. Friction.
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| 07/12 | Newton's Laws, the (first) full statement. |
Suggested problems. Ch6 and Ch7. |
| 07/13 | Forces: gravity; “contact forces” (normal force). | |
| 07/14 | Examples of Newton's Laws. Friction. | |
| 07/15 | Friction, and more complete examples of Newton's Laws. | |
| Week 5 |
Lab: #6
Reading: Ch 7 and 8
Further examples and uses of Newton's Laws.
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| 07/19 | Review of midterm material (regular class). Midterm: 4–5:30 pm. |
Suggested problems, Ch7. |
| 07/20 | Multiple objects. Contact forces: tension. | |
| 07/21 | Multiple objects and 3rd NL, further examples. Pulleys. | |
| 07/22 | Rounded examples: multiple objects, friction, tension, pulleys. | |
| Week 6 |
Lab: practice
Reading: Ch 10 and 11
Uniform circular motion. Variable forces:
air-resistance, springs. Work, energy. |
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| 07/26 | Curvilinear motion. Uniform circular motion. |
Suggested practice. |
| 07/27 | Examples of uniform circular motion. Non-constant forces: air resistance. | |
| 07/28 | Springs. Differential equations. Work and energy: first look. | |
| 07/29 | Work – via Newton's Laws and kinematics, various examples. Energy. | |
| Week 7 |
Lab: #7
Reading: Ch 10 and 11
Work and Energy. Energy Conservation. Momentum.
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| 08/02 | Work and energy. Scalar product. Conservative forces: derivation and example. |
Suggested problems. Ch10 and Ch11. |
| 08/03 | Work and potentials. Potential energy: gravity; spring. Energy conservation. | |
| 08/04 | Work and potential energy, and energy conservation. Non-potential forces; friction. | |
| 08/05 | Energy, work: a rounded example. Momentum; momentum conservation (simple). | |
| Week 8 |
Lab: make up.
Reading: Ch 9; 10, 11
Energy and Momentum conservation. Rounded problems. Beyond mechanics.
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| 08/09 | Momentum conservation. Collisions. |
Suggested problems. Ch10 and Ch11; and review Newton's Laws
with multiple objects, kinematics. |
| 08/10 | Energy and momentum conservation, collisions. Energy transfer. | |
| 08/11 | Review: problems, questions. Mock test (one problem). | |
| 08/12 | Review problems: homework, and questions. | |
| 08/13 | Final exam: Friday 08.13, 12–2pm | |