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Precession can be demonstrated effectively through a spinning top. If a spinning top is placed on a flat surface near the surface of the Earth at a vertical angle and is not spinning, it will fall over due to the force of gravity producing a torque acting on its center of mass. However, if the top is spinning on its axis, it precesses about the vertical direction, rather than topple over due to this torque. Precessional motion is a combination of a steady circular motion of the axis and the...
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A gyroscope is defined as a spinning disk in which the axis of rotation is free to assume any orientation. When spinning, the orientation of the spin axis is unaffected by the orientation of the body that encloses it. The body or vehicle enclosing the gyroscope can be moved from place to place, while the orientation of the spin axis remains the same. This makes gyroscopes very useful in navigation, especially where magnetic compasses cannot be used, such as in crewed and crewless spacecraft,...
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The concept of the inertia tensor is employed to depict the mass distribution and rotational inertia of a solid or rigid object. This tensor is expressed through a three-by-three matrix. Each component within this matrix corresponds to varying moments of inertia about specific axes.
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Related Experiment Video

Updated: Apr 14, 2026

An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field
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Bioinspired dynamic inclination measurement using inertial sensors.

Vishesh Vikas, Carl Crane

    Bioinspiration & Biomimetics
    |April 17, 2015
    PubMed
    Summary

    Human body balance relies on vestibular feedback. This study models the body as an inverted pendulum to define a dynamic equilibrium axis, crucial for understanding orientation on various surfaces.

    Area of Science:

    • Biomechanics
    • Human Physiology
    • Sensor Technology

    Background:

    • Vestibular feedback is essential for human balance in dynamic environments.
    • Understanding the body's reference equilibrium position is key to analyzing balance.
    • Existing methods struggle to accurately measure orientation during motion.

    Purpose of the Study:

    • To propose and validate a concept of dynamic equilibrium for the human body.
    • To explain body alignment on different surfaces (horizontal, inclined, accelerating).
    • To develop a novel sensor system inspired by the human vestibular system.

    Main Methods:

    • Modeling the human body as an inverted pendulum to define a dynamic equilibrium axis.
    • Designing vestibular dynamic inclinometers with multiple accelerometers and a gyroscope.

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  • Developing an analytical, non-time-recursive measurement algorithm to separate gravity from motion.
  • Main Results:

    • The dynamic equilibrium axis is dependent solely on surface contact acceleration (e.g., gravity).
    • The proposed sensor systems successfully measure absolute orientation and angular acceleration.
    • The system effectively separates gravity from motion for ground-based moving objects.
    • Experimental results validate the analytical solution for the measurement algorithm.

    Conclusions:

    • The dynamic equilibrium axis provides a reference for orientation measurements in dynamic conditions.
    • The vestibular dynamic inclinometer offers accurate orientation sensing, inspired by biological systems.
    • The analytical algorithm overcomes limitations of integration errors and body dynamics dependence.