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As a famous example for oscillations and kinematics in general, the pendulum is an often discussed topic. As part of this experiment, you will be using a prepared setup to generate your own measurement data and analyze it in Matlab.

Pendulum	Acceleration sensor	Arduino connection
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• The experiment included typical questions regarding
  • Frequency
  • Mass
  • Forces
  • Amplitudes
• This experiment does not include us giving you all the equations, so you need to look up a few of them in your scripts or on the internet
  •  As an example: the relationship between mass, pendulum radius and frequency is given by

    Mathinline
    body --uriencoded--T \approx 2\pi \sqrt%7B\frac%7BL%7D%7Bg%7D%7D

    , but what that means is yours to find out
• The experiment consists of 2 measurements
  • Measurement A: simulate a slow, constant angular velocity while measuring accelerations in tangential and normal direction
  • Measurement B: simulate a free oscillation by initially displacing the pendulum while measuring normal acceleration, tangential acceleration, angular velocity
  • The measurements will be conducted by using our Matlab app at one of our computers
  • The app is only for taking measurements, not for analyzing the data!
    • There currently are only 2 pendulums, so please respect the time
    • But please feel invited to observe different behaviors
• Afterwards, you will receive the measurement data via Email and post-process it to find the answers to our questions.
  • We will also receive the same measurement data and calculate your solutions depending on your measurements
• DISCLAIMER:
  •  Treat the pendulums with respect and care! → No unnecessary swing-ups and/or games!
  • Warn people around you, that they won't get hit by the pendulum's mass!

Matlab App:

Experiment 6A

This experiment is about understanding the dynamic behavior of the capacitive sensor and ignore the angle/angular velocity. The VIPS questions are related to the accelerations, their amplitudes, their mean and their relation to each other. The output accelerations should look similar to sine/cosine waves. Everything else is most likely a false measurement and has to be repeated.

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In part 6.2 you titled the sensor in different angles and read the values of the acceleration on the z-axis.
Find the acceleration values on the z-axis for six different angles and create a table.

Please enter your table values as follows:

enter your table like this:
[0 1; 30 2; 45 3; 90 4; 180 5]

Please use the decimal point and give only numerical values in degree, respectively m/(s^2) as in this example: [0 1; 30 2; 45 3; 90 4; 180 5]

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