Physics 171H Student Projects and Presentations
Overview
As part of your honors-level coursework, I'm asking each of you to do
an individual project, give a ~15-minute presentation about it to
me and your fellow 171H students near the end of the semester, and write up
a brief report -- maybe 4 to 8 pages.
The general goal is to explore some physical system or application to a level of
detail and realism that goes beyond regular homework problems -- for
example, to study the effect of air drag and various winds on a
projectile's path, or work out the flight of a multi-stage rocket, or
calculate an orbit in a realistic gravitational potential, etc. Many
of these things will require numerical calculations with a computer,
which you could do with a spreadsheet like Excel or with a program
that you write. There is a list of suggested topics below, or you can
come up with your own topic -- just check it with me. Regarding the
scope of the project, my idea is that it should be something you
invest a day or so of time in doing (i.e. not multiple days -- unless
you really want to!), and that you should be able to tell us something
interesting. Some projects may involve reading and reporting on the state
of the art or things that others have done, but in those cases I would like to see either some
calculations or some experimental research of your own on applying the principles and/or the
results.
Presentations can have prepared slides (PowerPoint, etc.) or can
use a blackboard or whiteboard -- your choice. It is pretty casual.
I will give you a grade based on:
- Your understanding of the relevant physics of the system, object, or
whatever is the topic of your project
- The appropriateness and correctness of the work (calculation, etc.)
that you do in connection with the project
- The quality of your presentation and explanation
- The general quality of your brief report
- How successful you are in telling us something interesting
The project and presentation together will be worth 10 percent of your final grade for the course. The
difficulty of the topic will be taken into account -- after all, I am
not expecting you to have put multiple days of effort into it, so for a
deep topic I'll be satisfied if you pick one manageable piece or
special case of it to explore. Let's be sure to talk about your project
idea and agree on a topic and general scope which is reasonable.
Timeline
- Now through Nov 23: consider possible topics, meet with me to discuss your choice or to get some help deciding, and settle on topic
- By Nov 21 we should select a date and time that works for your presentations during the last full week of classes (Dec 5-9)
- Work on project / presentation / report
- Dec 5-9: Give presentation on some day during this week - to be determined
- Dec 12: Deadline for turning in written report
Some Project Ideas
- Calculate realistic trajectories of a cannonball -- compared to
where it would fall with no drag, calculate where it falls when drag
is taken into account, or if there is a headwind, a tailwind of equal
speed, a wind blowing from the side...
- Battleships can fire shells long distances. How much does the
coriolis force affect where they land?
- Simulate a roller coaster with rolling friction, drag, or both.
- Figure out some more things about a Slinky that is hanging and
then dropped. For instance, where is the center-of-mass initially,
and as the top part of the Slinky collapses downward?
- Model the collapse of the core of a massive star when the mass of
its core exceeds the Chandrasekhar limit.
- How / how much is the Moon's orbit around the Earth affected by
the fact that it also feels a gravitational force from the Sun?
- In a galaxy such as the Milky Way, the mass is distributed in a
very non-spherical way. How does this affect the orbital period of a
star near the outer edge, compared to the case of having all that mass
concentrated at the center of the galaxy?
- Design a multi-stage rocket with reasonable assumptions about how
much impulse you can get out of each kilogram of fuel, how much mass
the rocket body has, etc. Figure out what it take to get into orbit.
- Calculate a "figure 8" orbit of a spacecraft circling the Earth
and the Moon.
- Explore energy storage using large flywheels.
- Calculate the frictional force that you would get from a rope
wrapped partway or fully around a cylinder.
- Research and report on non-standard friction, i.e. materials or
situations that don't follow the usual simple formulas for frictional
force.
- Consider a child's swing hanging from a branch. Calculate the
force on the branch, and the period of the swinging motion, for
different swing amplitudes.
- In one or our discussion sessions there was an item about a
flexible chain lying on a table with part of the chain hanging over
the edge, and we calculated how it fell with a time-varying
acceleration. What really happens to a chain in this
situation, treating this fully as a two-dimensional problem?
- Calculate the elapsed time for a spaceship trip to Alpha Centauri
using relativity and assuming a certain rocket thrust to accelerate
gradually in the first part of the trip and decelerate in the later
part.
- How fast does a bubble rise in liquid? How does it depend on the
properties of the liquid?
- From the racing billiard balls demonstration: condition(s) for ball to remain rolling on track through the dip
- Space elevator idea and designs
- Solar system orbit simulation including gravitational force between planets
- Kinetic friction: experiments to determine whether it is REALLY independent of sliding speed
- Yo-yo physics - e.g. how does a "sleeping" yo-yo sleep, and how does it wake up?
- Any other topic you're interested in -- maybe something you have heard or read about.