10 Questions
How can the stiffness of the spring be determined in the experiment?
By connecting one end to a rigid support and attaching known masses to the other end
What is used for data acquisition in this experiment?
Arduino
How is the natural frequency of the single DOF system determined?
By manually noting the time taken for 10 to 20 oscillations
What is done to confirm that the spring is still in its linearly elastic region?
Measuring the steady-state elongation in the spring
What is used to analyze the vibrations of the spring-mass system in this experiment?
MEMS based accelerometers
What is the purpose of attaching the Arduino board in close proximity to the setup?
To prevent the connecting wires from being pulled during oscillations
Why should small perturbations be applied to the smartphone during the experiment?
To avoid damaging the smartphone
What is one of the precautions mentioned to avoid while working with the Arduino board?
Avoid direct contact of Arduino board pins with the metallic frame
How is logarithmic decrement (𝛿) defined in terms of amplitudes of cycles?
$\delta = \frac{x_1}{x_m+1}$
How is the damping coefficient (c) defined in terms of damping ratio (𝜁)?
$c = \frac{2\zeta}{\sqrt{km}}$
Explore the dynamics of a simple spring-mass system using MEMS accelerometers such as MMA7361. Learn how to conduct experiments with linear springs, known masses, Arduinos, and smartphones equipped with Phyphox. Analyze vibration data for a better understanding of single degree of freedom systems.
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