Experiment P-46, Simple Pendulum
Contents
1. Ver 3 0 1 7 NeuLog x 17 At the end of the measurement click on the Zoom fit icon a 18 Your graph should be similar to the following lt F F Save Open Experiment Experiment NeuLog Rotary motion id 1 Undo all functions Back R Iga IQ lo less Time Minute Unzoom Zoom Zoom Select Show Grid Graph Table Point Area All Fit Zone Functions 19 Save your graph 20 Click on the Select Zone icon ke and select a part of the graph as in the picture below NeuLog Selected area amans xa 194908 Axe 20 828 4 IOS Y1 68 04 Angle Y2 63 99 Angle xpenmen SCE Maximum 69 00Angle Undo all functions Minimum 50 10Angle Functions Back Linear fit 2 4 27 ae y Grid Graph Table Point Area 21 Click on the Show Functions icon ie and then click on the rotary motion button on the left of the screen Experiment P 46 Simple Pendulum Ver 3 0 1 8 NeuLog EJ Look at the frequency calculation The frequency units are Hz which is defined as the number of cycles per second 22 Click on the Select Zone icon ke and select a different part of the graph Click on the rotary motion button on the left of the screen Is the frequency calculation any different than before 23 Click on the Select Zone icon ke and select the first part of the graph before the oscillations become very small towards the end 24 Click on the rotary motion button on the l2. 1 NeuLog EJ Experiment P 46 Simple Pendulum amp Objectives To learn about the period and frequency of a simple pendulum To understand the difference between a simple pendulum and a real life pendulum To examine the effects of length and mass on the pendulum s period Modules and Sensors PC NeuLog application USB 200 module NUL 226 Rotary motion logger sensor ES Equipment and Accessories Utility stand Right angle clamp Extension clamp 35 cm thread 10 g slotted mass N The items above are included in the NeuLog Mechanics kit MEC KIT Experiment P 46 Simple Pendulum Ver 3 0 1 2 NeuLog EJ Introduction A simple pendulum is a hypothetical apparatus consisting of a point mass hanged on a thread The thread s mass Is negligible and it is free to vibrate without friction The motion of the hanged mass is harmonic it swings back and forth at a constant amplitude This is true as long as the angle from the original position is small The amplitude of a real life pendulum swing declines over time because it is subjected to friction A pendulum s period is the time it takes to the hanged mass to swing back and forth The period of a simple pendulum depends on the length of the thread and the gravitational acceleration g not on the mass of the pendulum A pendulum with a long thread has a greater period than one with a shorter thread The period and the frequency 1 period are
3. Module box 8 Click on the Range button 9 Select the Angle button to change the sensor s mode NeuLog Al EA 9 its gt m a gt Back Expenment Loa p pen Setup Experiment Experiment Experiment Experiment Experiment Experiment a 335 90 Rotary motion id 1 cS Angle Range Angle Rotary motion ID 1 z e Duration 3 minutes Rate 50 per second HM BBL Be Grid Graph Table Point Area F7 10 Click on the Experiment Setup icon and set the Experiment duration to 3 minutes Sampling rate to 50 per second Experiment P 46 Simple Pendulum Ver 3 0 1 6 NeuLog EJ Testing and measurements 11 Before starting the experiment fill in the Expected period s column in the table below use the simple pendulum equation m 9 oeriod s oeriod s O a o2 To S S S o2 20 l SS 12 Hold the 10 g mass about 60 degrees to the right of the starting position in which the weight is hanging down 13 Click on the Reset button on the Sensor s Module box menu 14 Move the 10 g mass towards the ground checking that the numbers increase but they are not higher than 300 If they are higher than 300 reset the sensor from the other side and check again 15 Hold the 10 g mass about 30 degrees to the right of the starting position again make sure the angle is around 30 16 Let go of the 10 g mass and click on the Run Experiment icon LJ to start the measurement Experiment P 46 Simple Pendulum
4. eft of the screen NeuLog lt i amp amp Save Open Experiment Experiment Selected area Minimum 25 75Angle lt gt Functions 1 5 1 8 2 1 2 4 2 7 Time Minute ES l He a ps Grid Graph Table Point Area 25 We can see that in the sample experiment the frequency is 1 001 Hz 1 001 cycles second The period of one cycle 1 1 001 second 0 99 second 1 second 26 Calculate the period according to the example above and fill the Measured period s column with your answer 27 Set up the 10 g mass on a 20 cm thread and repeat the experiment 28 Set up two 10 g masses on a 20 cm thread and repeat the experiment Experiment P 46 Simple Pendulum Ver 3 0 1 9 NeuLog EJ Summary questions 1 2 Did the length of the thread affect the period How Did the hanged mass affect the period How Was the measured period any different from the expected period If there was a difference what could be the cause Which factor caused the mass to stop swinging According to your results suggest an application for a pendulum and explain Experiment P 46 Simple Pendulum Ver 3 0 1
5. independent of the initial angular position for small swings The following equations describe the period T and the frequency f of a simple pendulum In this experiment we will measure the angular position over time of a swinging hanged mass connected to a rotary motion sensor through a thread Different lengths and different masses will be examined and the expected period will be compared with the measured period Experiment P 46 Simple Pendulum Ver 3 0 1 3 NeuLog EZ Procedure Experiment setup 1 Set up the experiment as shown in the picture below 2 Tie one end of the thread to the 10 g mass and the other end to the rotary motion sensor The length of the thread should be 25 cm including the part between the thread and the rotary sensor axis as in the picture below Experiment P 46 Simple Pendulum Ver 3 0 1 4 NeuLog EJ sensor setup 3 Connect the USB 200 module va to the PC 4 Check that the rotary motion logger sensor E3 is connected to the USB 200 module Note The following software functions are explained in short It is recommended to practice the NeuLog application functions as described in the user manual beforehand 5 Run the NeuLog application and check that the rotary motion sensor is identified Experiment P 46 Simple Pendulum Ver 3 0 1 5 NeuLog EJ settings 6 Click on the On line Experiment icon Gas in the NeuLog main icon bar 7 Click on the Sensor s
Download Pdf Manuals
Related Search