Experiment 06: Work, Energy and the Harmonic OscillatorExperiment 06: Work, Energy and theExperiment 06: Work, Energy and the Harmonic OscillatorHarmonic Oscillator8.01T - Fall 2004 Bernd Surrow MIT, Department of PhysicsGoalsGoalsGoals Investigate the work-mechanical energy theorem. Observe how forms of mechanical energy are converted from one to another and lost by non-conservative work. Study the behavior of a simple harmonic motion with a high quality low-loss spring. 8.01T - Fall 2004 Bernd Surrow MIT, Department of PhysicsEquipment setupEquipment setupEquipment setup Use the heavy spring on the force sensor. Put two 250g weights in the cart. Clip motion sensor to other end of track, and support it on a piece of 2x4. 8.01T - Fall 2004 Bernd Surrow MIT, Department of PhysicsStarting DataStudioStarting DataStudioStarting DataStudio Create a new experiment. Plug force and motion sensors into the 750 and drag their icons to inputs in the Setup window. Double-click the Force Sensor icon. 8.01T - Fall 2004 Bernd Surrow MIT, Department of PhysicsForce SensorForce SensorForce Sensor Set Sample Rate to 500Hz and Sensitivity to Low. Double-click the Motion Sensor Icon. 8.01T - Fall 2004 Bernd Surrow MIT, Department of PhysicsMotion SensorMotion SensorMotion Sensor Ensure to have Acceleration, Position and Velocity checked Set Trigger Rate to 60Hz and calibrate distance to cart when it is resting against the spring. Click 8.01T - Fall 2004 Bernd Surrow MIT, Department of PhysicsSampling OptionsSampling OptionsSampling OptionsNo boxes checked! Delayed start on position measurement! Stop after 10s! 8.01T - Fall 2004 Bernd Surrow MIT, Department of PhysicsMeasurement ResultsMeasurement ResultsMeasurement Results Position vs. Time: Measure maximum heights either side of 2nd bounce, calculate loss of potential energy, and friction force. Enter in table! Force vs. Time: Expand force peak around 2nd bounce. 8.01T - Fall 2004 Bernd Surrow MIT, Department of PhysicsFinding Acceleration Up & DownFinding Acceleration Up & DownFinding Acceleration Up & DownLinear fit to find adown 8.01T - Fall 2004 Bernd Surrow MIT, Department of Physics Linear fit to find aupAnalysis Force PeakAnalysis Force PeakAnalysis Force PeakUser-Defined Fit to A*sin(2*pi(x-C)/T) 8.01T - Fall 2004 Bernd Surrow MIT, Department of PhysicsHarmonic OscillatorHarmonic OscillatorHarmonic OscillatorUnclip motion sensor, raise the force sensor end of track Attach spring to plunger on cart with a binder clip and to the hook on force sensor. Add two 250g weights in the cart. Place motion sensor on table touching other end of track. Set Delayed Start and Auto Stop. 8.01T - Fall 2004 Bernd Surrow MIT, Department of PhysicsHarmonic Oscillator ResultsHarmonic Oscillator ResultsHarmonic Oscillator ResultsPosition vs. Time: Measure the period, and calculate spring constant k from M = 0.75 kg. Force vs. Time. Make a plot of force vs. position. 8.01T - Fall 2004 Bernd Surrow MIT, Department of PhysicsLissajous PatternsLissajous PatternsLissajous PatternsForce vs. Position: Find k from a Velocity vs. Position. Linear Fit. 8.01T - Fall 2004 Bernd Surrow MIT, Department of PhysicsRubber Band Spring - OptionalRubber Band SpringRubber Band Spring --OptionalOptionalPosition vs. Time: Note increased damping. Force vs. Position. Not linear. 8.01T - Fall 2004 Bernd Surrow MIT, Department of
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