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Waves and Simple Harmonic Motion

intelino/Voyager: Periodic Motion Lab

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Submitted by Rich on Thu, 08/29/2019 - 00:30

Introduction

Periodic motion is motion that repeats itself in regular intervals.  If the motion has characteristics that are sinusoidal, then the motion is said to be simple harmonic (SHM).  In this lesson, periodic motion that is not simple harmonic is studied.  Never-the-less, the motion shows many characteristics of SHM, as can be seen when studying the position, velocity, and acceleration graphs.  This lab makes use of PocketLab Voyager that has hitched a ride on an "intelino® smart train" and is running on the VelocityLab app.  Int

Damped Simple Harmonic Motion

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Submitted by Rich on Sun, 07/07/2019 - 19:47

Introduction

Damping causes oscillatory systems to dissipate energy to their surroundings.  Frictional losses are quite common in mechanical systems and result in damped simple harmonic motion.  For example, when a child stops pumping a swing, the amplitude of the oscillations gradually decay toward zero.  The same thing happens to a mass that hangs from an oscillating spring.  It is quite common for the amplitude of such oscillations to exhibit a behavior that is negative exp

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The Negative Exponential Nature of Damping

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Submitted by Rich on Mon, 06/24/2019 - 20:50

Introduction

Damping causes oscillatory systems to dissipate energy to their surroundings.  Frictional losses are quite common in mechanical systems.  For example, when a child stops pumping a swing, the amplitude of the oscillations gradually decay toward zero.  The same thing happens to a mass that hangs from an oscillating spring.  It is quite common for the amplitude of such oscillations to exhibit a behavior that is negative exponential over time, as shown in Figure 1.  The graph indicates that if we take the amplitude at time t=0 to be 1, then the amplitude at time

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Physics Galore with the PocketLab Swing

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Submitted by Rich on Mon, 05/20/2019 - 16:00

The PocketLab Voyager Swing

The PocketLab Voyager swing, 3D printable from the accompanying .STL file, offers your physics students a way to study a plethora of physics concepts in a single experiment. Figure 1 shows a closeup up the swing, approximately inches tall, inches wide, and inches deep.

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Simple Harmonic Motion Demonstration Machine

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Submitted by Rich on Thu, 05/09/2019 - 14:52

Introduction

In a well-known 1938 book entitled "Demonstration Experiments in Physics", editor Richard Sutton describes a device that produces simple harmonic motion (SHM) mechanically.  With today's tremendous growth in the 3D printing industry, such a device can now be easily constructed for classroom demonstrations of SHM.  Couple this device with PocketLab Voyager and you can obtain real-time graphs describing the motion.

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How does a Rangefinder Work - Physics of Probeware

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Submitted by clifton on Tue, 02/19/2019 - 04:34

Introduction to Rangefinders

Rangefinders, sometimes called motion sensors or motion detectors are commonly used in probeware, camera autofocus, and robotics. Rangefinders operate on the principle of a time-of-flight measurement and consist of a transmitter and receiver. The transmitter emits a signal (ultrasonic or optical) then the receiver detects the reflection or echo of the signal. The amount of time between transmit and receive is called the time-of-flight and is used to calculate the distance to the reflecting object:

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3D Printed Pendulum for Simple Harmonic Motion

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Submitted by clifton on Mon, 07/09/2018 - 19:37

This 3D printed model demonstrates the physics of a simple pendulum that consists of a mass, m, hanging from an arm of length, L, and fixed at a pivot point, P. You can move the mass along the length of the arm to change the center of mass of the pendulum. If you displace the pendulum from equilibrium to an initial angle, θ, and release, the motion will be regular and repeat. This is an example of periodic motion also called simple harmonic motion.

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PocketLab/Phyphox Damped Lissajous Figures

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Submitted by Rich on Mon, 06/11/2018 - 20:33

Lissajous Introduction

Lissajous patterns have fascinated physics students for decades.  They are commonly observed on oscilloscopes by applying simple harmonic functions with different frequencies to the vertical and horizontal inputs.  Three examples are shown in Figure 1.  From left to right, the frequency ratios are 1:2, 2:3, and 3:4.  These Lissajous patterns were created by use of the parametric equation section of The Grapher software written by the author of this lesson.  You are welcome to use this softwa

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Maker Project: Voyager and littleBits™ Music Visualizer

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Submitted by Rich on Sun, 01/21/2018 - 19:49

It’s not always enough to just hear music.  Many of us enjoy visualizing it while listening.  4th of July fireworks are commonly synced to Sousa’s The Stars and Stripes Forever.   Concert goers see spotlights flashing to their favorite pop songs.  Modern home owners play their sound systems synchronized with Phillips Hue lighting and nanoleaf® light panels with a Rhythm module.  For many years, classic visualizers have di

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CloudLab Curve Fit Feature Preview: Inverse Square Law of Light

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Submitted by Rich on Fri, 01/12/2018 - 22:15

The ability to quickly match empirical data to well-known mathematical models is an essential feature in the analysis of experiments.  This technique is generally referred to as curve-fitting.  The up-and-coming, but not yet leased, CloudLab software from PocketLab provides an easy way to fit data to models including linear, quadratic, power, exponential, and logarithmic.  This curve-fitting can be done for any selected region of PocketLab data.  This lesson provides a sneak preview of this CloudLab featu

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