Introduction
| Legos and Robolab make available a great set of tools for learning physics with a hands-on approach. Lego bricks, wheels, and other parts make it possible for students to make their own simple experimental apparatus. The Lego robotics microprossesor (RCX) and associated sensors, together with the Robolab software, create an environment for data collection, calculation, and for the documentation of experimental work. I am exploring the use of this system for physics learning at the high school and introductory college level. On this website I will document my progress and provide examples. This is a work in progress and some entries are not yet supported by details and documentation! Natasha Perova has developed more physics activities - see her website at http://www.tuftl.tufts.edu/people/people.shtm |
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Robert
Hart |
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Mechanics
| Activity Name | Students do this | Challenge or prediction | Concept/Skill | Links to detailed description |
| Kinematics, Newton's Laws in one dimension. | ||||
| Constant acceleration: Rolling Friction 1 | Collect and analyze displacement data using different sensors. Draw free body diagrams. |
Calculate friction force. What is the friction force introduced by the various kinds and configurations of sensors? What is exerting this force? On what? Draw a free body diagram. |
Identifying external forces. Distinguishing between external and internal forces. Distinguishing between static and kinetic friction in rolling problems. |
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| Constant acceleration: Rolling Friction 2 | Collect and analyze displacement data over a slightly sloping floor. |
How can you distinguish between sloping floor and friction? Learn to use Robolab Investigator to document your project and analyze data. |
Using free body diagrams. Solving problems with two kinds of forces. |
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| Constant acceleration: Rolling Friction 3 | Collect and analyze displacement data using different loads. Draw free body diagrams. |
How does the friction force depend on Normal force? How does friction force depend on velocity? |
To
be added soon. |
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| Spring Force Gauge | Build and calibrate a force gauge, using Legos and a spring with a rotation sensor. | Use a spring and rotation sensor to make a force gauge. How repeatable is your instrument? What is the resolution? How can you make it finer? What is lost when resolution is improved? |
Spring force: Hooke's Law. Design and use of an instrument. Tradeoffs between sensitivity and repeatability. Dealing with imperfections - hysteresis. Calibration. |
Examples
and details |
| Static and Kinetic Friction | Use the force gauge that you have built to measure frictional force as an object is pulled and begins to slide. | How does friction force depend on surface area? How does friction force depend on load? |
Static and sliding friction. Analysis of graph. Normal force, coefficient of friction.
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This
is a simple application of the force gauge. Click
here for details |
| Conservation of Energy | ||||
| Rolling Energy Analysis | Use rotation sensor to collect displacement data for a cart as it rolls to a stop.
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What is the frictional force acting on a rolling cart? Calculate Frictional force in at least two ways. |
Force due to friction Work done by friction Conservation of energy |
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| Ramp | This activity uses the rotation sensor to collect data used to analyze the motion of a cart rolling down a ramp. |
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| Rotational Dynamics | ||||
| Activity Name | Students do this | Challenge or prediction | Concept/Skill | Links to detailed description |
Measuring moments of inertia Frictional torque of axle and bearing. |
Use LEGO blocks as masses to apply torque to a wheel and cause angular acceleration. Use light sensor to acquire data on wheel position. |
Calculate acceleration. Use a free body diagram to show how to calculate torque. Apply Newtons second law to put data into a form that gives the moment of inertia of the wheel, and the frictional torque in the axle. |
Newton's 2nd law in rotational and linear form. Deriving a result from a graph of calculated data points. |
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| Conservation of angular momentum: precession. | Use a high speed, non-geared Lego motor to spin some tires very rapidly. Suspend the RCX, motor and wheel so that the whole arrangement is allowed to tilt as shown, pivoting around the end of the strings that hold it up. | As you rotate the assembly about its vertical axis, what happens? What if the motor is spinning the other way?
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Physical Pendulum
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Use a given set of bricks to make pendulums with different periods. Measure the period. |
Level 1: Build the slowest and fastest possible pendulums from a given set of bricks. Level 2: Explain what influences the period of the pendulums. Level 3: With an axle and a several identical bricks, build a rod-shaped pendulum and measure its period as the pivot point is moved relative to the center of mass. Level 4: Plot the
data and model it mathematically. Develop a strategy to make fast pendulums
with a given mass. |
Measuring pendulum period. Effect on period as mass is distributed differently. Gravitational force acting on center of mass. Plotting data. Gravitational torque, moment of inertia, parallel axis, pendulum equation. Analyzing data, and comparing to a mathematical model. |
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| Optics | ||||
| Object-image and magnification | LEGO's
make a very nice optical bench. You just need to come up with a way to hold
your lenses. I will add some ideas to this site soon. |
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| Finding the focal length using a laser pointer | ||||
| Telescope and a microscope | Build a telescope. Build a microscope. Measure magnification. |
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| Diffraction grating | Use a laser pointer to calculate the spacing of tracks on a CD. Verify using optical microscope. |
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| Grating Spectrometer | Not yet realized! | |||
| Heat and Energy | ||||