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Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
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Related Experiment Video

Updated: Dec 30, 2025

Sit-to-stand-and-walk from 120% Knee Height: A Novel Approach to Assess Dynamic Postural Control Independent of Lead-limb
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Simple Spline Representation for Identifying Sit-to-Stand Strategies.

Robert P Matthew, Sarah Seko, Jeannie Bailey

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

    This study introduces a spline-based framework to model the sit-to-stand movement, accurately capturing variations in how people rise. The method effectively distinguishes between different standing strategies using kinematic and kinetic bio-markers.

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    Area of Science:

    • Biomechanics
    • Human Movement Analysis
    • Biomedical Engineering

    Background:

    • Sit-to-stand (STS) is a fundamental daily activity and clinical assessment.
    • Existing biomechanical models lack clarity in capturing diverse STS strategies.
    • A need exists for precise methods to analyze STS performance and differentiate strategies.

    Purpose of the Study:

    • To present a novel spline-based framework for modeling the sit-to-stand motion.
    • To establish a differentiable method for analyzing STS dynamics and energetics.
    • To assess the framework's ability to capture and differentiate various STS strategies.

    Main Methods:

    • A simple framework representing the sit-to-stand action using a set of splines.
    • The spline formulation allows for inherent differentiability and clear motion endpoints.
    • Testing involved two healthy subjects performing four distinct standing strategies.

    Main Results:

    • The spline method accurately modeled the sit-to-stand action with low joint position (1-2 cm) and angular (2-3 degrees) errors.
    • Analysis of spline trajectories revealed strategy-specific differences in kinematic, kinetic, and dynamic bio-markers.
    • The framework successfully captured variations across different standing strategies.

    Conclusions:

    • Low-order splines provide an accurate and effective method for modeling sit-to-stand actions.
    • The proposed framework can reliably capture and differentiate between various sit-to-stand strategies.
    • This approach offers a clear method for analyzing dynamic and energetic effects in human movement.