Ring Table
- group Sequential Stern-Gerlach Experiments
group Small Group Activity
10 min.
Sequential Stern-Gerlach Experiments
Quantum Fundamentals 2023 (3 years) - assignment Mass of a Slab
assignment Homework
Mass of a Slab
Static Fields 2023 (6 years)Determine the total mass of each of the slabs below.
- A square slab of side length \(L\) with thickness \(h\), resting on a table top at \(z=0\), whose mass density is given by \begin{equation} \rho=A\pi\sin(\pi z/h). \end{equation}
- A square slab of side length \(L\) with thickness \(h\), resting on a table top at \(z=0\), whose mass density is given by \begin{equation} \rho = 2A \Big( \Theta(z)-\Theta(z-h) \Big) \end{equation}
- An infinitesimally thin square sheet of side length \(L\), resting on a table top at \(z=0\), whose surface density is given by \(\sigma=2Ah\).
- An infinitesimally thin square sheet of side length \(L\), resting on a table top at \(z=0\), whose mass density is given by \(\rho=2Ah\,\delta(z)\).
- What are the dimensions of \(A\)?
- Write several sentences comparing your answers to the different cases above.
- face Unit Learning Outcomes: Quantum Mechanics on a Ring
- groups Air Hockey
groups Whole Class Activity
10 min.
Air Hockey
Central Forces 2023 (3 years) Students observe the motion of a puck tethered to the center of the airtable. Then they plot the potential energy for the puck on their small whiteboards. A class discussion follows based on what students have written on their whiteboards. - assignment Building the PDM: Instructions
assignment Homework
Building the PDM: Instructions
PDM Energy and Entropy 2021 (2 years) In your kits for the Portable Partial Derivative Machine should be the following:- A 1ft by 1ft board with 5 holes and measuring tapes (the measuring tapes will be on the top side)
- 2 S-hooks
- A spring with 3 strings attached
- 2 small cloth bags
- 4 large ball bearings
- 8 small ball bearings
- 2 vertical clamp pulleys
- A ziploc bag containing
- 5 screws
- 5 hex nuts
- 5 washers
- 5 wing nuts
- 2 horizontal pulleys
- one screw should be put through each hole so that the threads stick out through the top side of the board. Next use a hex nut to secure each screw in place. It is not critical that they be screwed on any more than you can comfortably manage by hand.
- After securing all 5 screws in place with a hex nut, put a washer on each screw.
- Slide a horizontal pulley onto screws 1 and 2 (as labeled above).
- On all 5 screws, add a wing nut to secure the other pieces. Again, it does not need to be tightened all the way as long as it is secure enough that nothing will fall off.
- Using the middle wingnut/washer/screw (Screw 4), clamp the shortest of the strings tied to the spring.
- Loop the remaining 2 looped-ends of string around the horizontal pulleys and along the measuring tape.
- Using the string as a guide, clamp the vertical pulleys into place on the edge of the board.
- Through the looped-end of each string, place 1 S-hook.
- Put the other end of each s-hook through the hole in the small cloth bag.
- accessibility_new Acting Out Charge Densities
accessibility_new Kinesthetic
10 min.
Acting Out Charge Densities
Static Fields 2023 (7 years)density charge density mass density linear density uniform idealization
Students, pretending they are point charges, move around the room acting out various prompts from the instructor regarding charge densities, including linear \(\lambda\), surface \(\sigma\), and volume \(\rho\) charge densities, both uniform and non-uniform. The instructor demonstrates what it means to measure these quantities. In a remote setting, we have students manipulate 10 coins to model the prompts in this activity and the we demonstrate the answers with coins under a doc cam. - assignment Derivatives from Data (NIST)
assignment Homework
Derivatives from Data (NIST)
Energy and Entropy 2021 (2 years) Use the NIST web site “Thermophysical Properties of Fluid Systems” to answer the following questions. This site is an excellent resource for finding experimentally measured properties of fluids.- Find the partial derivatives \[\left(\frac{\partial {S}}{\partial {T}}\right)_{p}\] \[\left(\frac{\partial {S}}{\partial {T}}\right)_{V}\] where \(p\) is the pressure, \(V\) is the volume, \(S\) is the entropy, and \(T\) is the temperature. Please find these derivatives for one gram of methanol at one atmosphere of pressure and at room temperature.
- Why does it take only two variables to define the state?
- Why are the derivatives above different?
- What do the words isobaric, isothermal, and isochoric mean?
- group Matrix Representation of Angular Momentum
group Small Group Activity
10 min.
Matrix Representation of Angular Momentum
Central Forces 2023 (2 years) - group Quantifying Change
group Small Group Activity
30 min.
Quantifying Change
In this activity, students will explore how to calculate a derivative from measured data. Students should have prior exposure to differential calculus. At the start of the activity, orient the students to the contour plot - it's busy. - accessibility_new Acting Out Current Density
accessibility_new Kinesthetic
10 min.
Acting Out Current Density
Static Fields 2023 (6 years) Students, pretending they are point charges, move around the room so as to make an imaginary magnetic field meter register a constant magnetic field, introducing the concept of steady current. Students act out linear \(\vec{I}\), surface \(\vec{K}\), and volume \(\vec{J}\) current densities. The instructor demonstrates what it means to measure these quantities by counting how many students pass through a gate. -
Central Forces 2023 (3 years)
Attached, you will find a table showing different representations of physical quantities associated with a quantum particle confined to a ring. Fill in all of the missing entries. Hint: You may look ahead. We filled out a number of the entries throughout the table to give you hints about what the forms of the other entries might be. pdf link for the Table or doc link for the Table
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Media & Figures
