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Related Concept Videos

Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

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In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
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Kinematic Equations: Problem Solving01:15

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When analyzing one-dimensional motion with constant acceleration, the problem-solving strategy involves identifying the known quantities and choosing the appropriate kinematic equations to solve for the unknowns. Either one or two kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities. Generally, the number of equations required is the same as the number of unknown quantities in the given example. Two-body pursuit problems always require two...
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The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...
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Kinematic Equations - I01:26

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When an object moves with constant acceleration, the velocity of the object changes at a constant rate throughout the motion. The kinematic equations of motions are derived for such cases where the acceleration of the object is constant. The first kinematic equation gives an insight into the relationship between velocity, acceleration, and time. We can see, for example:
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Kinematic Equations - III01:18

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The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity as a function of the acceleration and distance over which it acts. The fourth kinematic equation does not have an acceleration term and provides the final position of the object at time t in terms of the initial and final velocities. This equation is useful when the value of the constant acceleration is unknown.
Using the kinematic equations,...
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Indirect Motor Pathways01:22

Indirect Motor Pathways

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The indirect motor or extrapyramidal pathways originate in the brainstem, the lower portion of the brain that connects it to the spinal cord. They consist of several distinct tracts, each with specialized functions. The four main tracts of the indirect motor pathways are the vestibulospinal tract, the reticulospinal tract, the tectospinal tract, and the rubrospinal tract.
The vestibulospinal tract originates in the vestibular nuclei of the brainstem. The vestibular system detects changes in...
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Related Experiment Video

Updated: Mar 20, 2026

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
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A physiologically based hypothesis for learning proprioception and in approximating inverse kinematics.

Matt Simkins1

  • 1MEMM Department, California State University, Chico, California msimkins@csuchico.edu simkinsmatt@hotmail.com.

Physiological Reports
|May 27, 2016
PubMed
Summary
This summary is machine-generated.

This study proposes position gradients to solve the "curse of dimensionality" in muscle control, enabling accurate forward and inverse kinematics for coordinated movement. This approach allows for learning and adjusting movement over time.

Keywords:
Inverse kinematicsposition gradientssynergyvirtual points

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Area of Science:

  • Neuroscience
  • Robotics
  • Biomechanics

Background:

  • The
  • curse of dimensionality
  • presents a significant challenge in understanding and controlling complex biological systems like human muscle coordination.
  • Coordinated movement requires precise, simultaneous control over numerous muscles, akin to solving forward and inverse kinematics problems in robotics.

Purpose of the Study:

  • To demonstrate how position gradients, a neurophysiological discovery in the cortex, can address the
  • curse of dimensionality
  • in muscle control.
  • To show that position gradients, combined with spinal cord physiology, can approximate proprioception (forward kinematics) and specify muscle lengths for goal-directed postures (inverse kinematics).

Main Methods:

  • Utilizing computer simulations of a human arm model.
  • Integrating the concept of position gradients with known spinal cord physiological principles.
  • Developing a computational framework to test the hypothesis.

Main Results:

  • Position gradients, when coupled with spinal cord physiology, effectively approximate proprioception (forward kinematics).
  • The proposed model successfully specifies muscle lengths for goal-directed postures (inverse kinematics).
  • The hypothesis was validated through computer simulations.

Conclusions:

  • Position gradients offer a viable solution to the
  • curse of dimensionality
  • in muscle control.
  • This framework provides a mechanism for learning and adjusting kinematic control as organisms grow and adapt.
  • Experimental predictions are outlined to validate the proposed hypothesis in biological systems.