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Equation of Motion: General Plane motion01:22

Equation of Motion: General Plane motion

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In the context of a rigid body's movement within a general plane, it is important to understand that this motion is typically triggered by external forces or couple moments exerted onto it. This principle can be explained through Newton's second law, which stipulates the translational motion of the body's center of mass along each axis.
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Visualize a drone, with its propellers spinning rapidly, hovering mid-air. The fascinating movements and operations of this drone can be comprehended by applying the principle of general plane motion.
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Consider a lawn roller with a mass of 100 kg, a radius of 0.2 meters, and a radius of gyration of 0.15 meters. A force of 200 N is applied to this roller, angled at 60 degrees from the horizontal plane. What will be the angular acceleration of the lawn roller?
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The theory of projectile motion is very useful for players of several sports to improve their performance. For example, a javelin thrower needs to throw their javelin in such a way that it travels as far as possible. The javelin thrower takes a short run-up to increase the initial speed of the javelin. The range of a projectile is at its maximum at a 45° angle so javelin throwers try to angle their throw as close to 45° as possible.
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Related Experiment Video

Updated: Feb 15, 2026

Mindfulness in Motion MIM: An Onsite Mindfulness Based Intervention MBI for Chronically High Stress Work Environments to Increase Resiliency and Work Engagement
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The MindfulBreather: Motion Guided Mindfulness.

Tom B Mole1, Julieta Galante1, Iona C Walker2

  • 1Department of Psychiatry, University of Cambridge, Cambridge, United Kingdom.

Frontiers in Human Neuroscience
|January 13, 2018
PubMed
Summary
This summary is machine-generated.

MindfulBreather is a smartphone app providing Motion Guided Mindfulness (MGM) using phone sensors to objectively measure mindful breathing. This technology enhances meditation training without external hardware, promoting focus and relaxation.

Keywords:
MindfulBreatherdefault modemeditationmindfulness assessmentmindfulness trainingmotion guided mindfulnesspsychobiological synchronization modelrealtime

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Area of Science:

  • Mindfulness and Meditation Technology
  • Psychophysiology
  • Human-Computer Interaction

Background:

  • Traditional mindfulness training often lacks objective, real-time feedback mechanisms.
  • Existing biofeedback devices for mindfulness are typically impractical and require specialized hardware.
  • Objective measurement of breath awareness is crucial for enhancing meditation training.

Purpose of the Study:

  • To introduce The MindfulBreather, a novel smartphone application for Motion Guided Mindfulness (MGM).
  • To describe the technological concept for real-time measurement and feedback of mindful breathing.
  • To propose a Psychobiological Synchronization Model for understanding the mind-breath connection.

Main Methods:

  • Utilizes smartphone gyroscope and touchscreen sensors for Motion Guided Mindfulness (MGM).
  • Employs a three-phase process: Induction, Maintenance, and Insights for user guidance and feedback.
  • Analyzes waveform-tap patterns to assess psychobiological synchronization with breathing cycles.

Main Results:

  • The MindfulBreather provides objective, real-time feedback on mindful breathing without external hardware.
  • The app facilitates psychobiological synchronization by guiding users to tap at the peak of inhalation.
  • Data-driven insights include mindful breath counts and breathing rate reduction, indicating parasympathetic engagement.

Conclusions:

  • The MindfulBreather repurposes smartphones to deliver accessible, app-embedded MGM for enhanced mindfulness training.
  • This technology aims to reduce mind-wandering and down-regulate the brain's default mode network.
  • It offers a practical, objective approach to harnessing breath awareness for 21st-century mindfulness practices.