02 - 7/29/2008 2: SIMPLE HARMONIC MOTION Motion of a Mass...

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7/29/2008 2: Simple Harmonic Motion - 1 2: SIMPLE HARMONIC MOTION Motion of a Mass Hanging from a Spring If you hang a mass from a spring, stretch it slightly, and let go, the mass will go up and down over and over again. That is, you will get Periodic Motion. Using Logger Pro you can see the repetition in position and velocity graphs. The length of time to go through one cycle of the motion is called the period . If you remember that the period refers to a period of time , you will remember the correct units for the period, namely seconds . (a) Learning about Logger Pro In this activity you will examine the graphical display of the motion of a mass hanging from a spring. 1. Log on to the computer. Launch LoggerPro by double clicking on the LoggerPro icon. Open the “ Simple harmonic motion ” file. File – Open – Simple harmonic motion. When you double click on the file name the program will open the file. 2. The detector uses ultra-sonic pulses emitted from the screen-like area on the front to detect the location of objects. Play with the motion detector to learn about what it does. Aim the detector horizontally off the bench. Click on Collect (or hit the F11 key) and the motion sensor will begin to emit clicks, which means that it is measuring. Start from 4-5 feet (sensor is sensitive up to 2m), move towards the sensor, stop for a second or two when you are 2-3 feet away, then move away from the sensor. Try to watch the top part of the display as you move or stop: which way does the line move when you are moving toward the sensor? Away from the sensor? Not moving? 3. Now look at the bottom part of the display. It plots your velocity at the same time as it measured your distance. Note that velocity can be positive or negative: which was it as you were moving toward the sensor? away from the detector? at rest? (Note: If you get strange spikes that do not correspond to your motion, you have either moved too close to, too far away from, or out of the beam of the detector. Try again.) (b) Measuring periodic motion 1. Prepare a mass on a spring. If it hasn’t already been done for you, hang a spring vertically from the support which is mounted to the table and attach the weight holder to the spring. The mass of the holder itself is 20g. In addition, put one slotted mass of 20g on the holder. Place the motion detector face-up directly below the spring.
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2: Simple Harmonic Motion - 2 2. Measure the mass at rest. Try to make the mass stay as still as possible, then click on the Collect button (or use the F11 key). After the program is done measuring, save this data by clicking Experiment (in the menu bar) – Store latest run – Data – New Data Set . Now click Experiment (in the menu bar) – Data Collection… and set the length for 5 seconds. 3.
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02 - 7/29/2008 2: SIMPLE HARMONIC MOTION Motion of a Mass...

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