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Equation of Motion: General Plane motion - Problem Solving01:16

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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 2, 2026

Design, Instrumentation and Usage Protocols for Distributed In Situ Thermal Hot Spots Monitoring in Electric Coils using FBG Sensor Multiplexing
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Towards Finger Motion Capture System Using FBG Sensors.

Minsu Jang, Jun Sik Kim, Kyumin Kang

    Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference
    |November 17, 2018
    PubMed
    Summary
    This summary is machine-generated.

    This study presents a new finger motion capture system using fiber Bragg grating (FBG) optical sensors. The system accurately reconstructs 3D finger movements and joint bending in real-time without drift.

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    Area of Science:

    • Biomedical Engineering
    • Optical Sensing Technologies
    • Human-Computer Interaction

    Background:

    • Accurate finger motion capture is crucial for prosthetics, rehabilitation, and virtual reality.
    • Existing systems often suffer from drift, limited range of motion, or complex calibration.
    • Fiber Bragg Grating (FBG) sensors offer a promising alternative due to their small size, high sensitivity, and immunity to electromagnetic interference.

    Purpose of the Study:

    • To develop and validate a novel finger motion capture system utilizing FBG optical sensors.
    • To reconstruct multi-degree-of-freedom (DOF) finger joint motion and high bending curvatures.
    • To achieve real-time, drift-free finger motion tracking.

    Main Methods:

    • Development of two FBG-based sensor types: a shape sensor for 3D joint position/orientation and an angle sensor for high curvature measurement.
    • Integration of multiple FBGs onto optical fibers to measure strains induced by finger deformation.
    • Real-time data acquisition and processing to reconstruct finger kinematics.

    Main Results:

    • The shape sensor achieved an average error of 1.49 mm at the distal tip (1.9% of full length).
    • The angle sensor demonstrated a high accuracy with an average error of 0.21° for joint bending.
    • Successful real-time demonstration of multi-DOF thumb motion and high-curvature bending at multiple finger joints.

    Conclusions:

    • The developed FBG sensor system enables accurate and drift-free real-time finger motion capture.
    • The system effectively reconstructs both complex joint movements and subtle bending motions.
    • This technology holds potential for applications in biomechanics, medical rehabilitation, and immersive virtual environments.