Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Kinematic Equations: Problem Solving01:15

Kinematic Equations: Problem Solving

11.7K
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...
11.7K
Kinematic Equations - II01:17

Kinematic Equations - II

9.2K
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...
9.2K
Kinematic Equations - III01:18

Kinematic Equations - III

7.4K
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,...
7.4K
Kinematic Equations - I01:26

Kinematic Equations - I

10.1K
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:
10.1K
Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

292
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...
292
Kinetic Energy for a Rigid Body01:13

Kinetic Energy for a Rigid Body

185
Imagine a solid object involved in a general planar movement, with its center of mass pinpointed at a spot labeled G. The object's kinetic energy relative to an arbitrary point A can be quantified for each of its particles - the ith particle in this case. This measurement is achieved through the employment of the relative velocity definition. The position vector, known as rA, extends from point A to the mass element i.
185

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

From algorithms to clinical execution: A cross-validated knowledge atlas of AI-enabled precision care (2015-2025).

Digital health·2026
Same author

Pan-cancer prioritization of CCDC69 reveals an immune-enriched and therapeutically sensitive breast cancer phenotype.

Discover oncology·2026
Same author

Clinical analysis of postmenopausal women with intravenous leiomyomatosis.

Taiwanese journal of obstetrics & gynecology·2026
Same author

General Electrocatalytic Plastic and Biomass Refining via Synergistic Carbon-Carbon Bond Cleavage Over Oxygen Vacancies and Ni<sup>3+</sup>-O Octahedral Motifs in Tailored Spinel Nickel Cobalt Oxide.

Angewandte Chemie (International ed. in English)·2026
Same author

Moderate Ce doping enables outstanding oxygen evolution activity and stability in CoMn-LDH nanosheets.

Nanoscale·2026
Same author

Microglia Attenuate Neuroinflammation After Subarachnoid Hemorrhage by Modulating Astrocyte Phenotypic Transformation via the RARα/Mafb/Msr1 Pathway.

Molecular neurobiology·2026
Same journal

Discerning dangerous gain of function: most gain of function (GoF) research does not involve infectious microbes.

Frontiers in bioengineering and biotechnology·2026
Same journal

Microtopography screening to modulate the mitogenic effects of aqueous humor on human tenon fibroblasts.

Frontiers in bioengineering and biotechnology·2026
Same journal

Next-generation strategies for anterior cruciate ligament repair: constructing biointelligent ligament grafts integrating biomimetic design, immune modulation, and sensory feedback.

Frontiers in bioengineering and biotechnology·2026
Same journal

Collagen nanofiber reinforced alginate hydrogel tube microbioreactors for cell culture.

Frontiers in bioengineering and biotechnology·2026
Same journal

Calcium ions released from alginate hydrogel promote wound healing by enhancing fibroblast activity.

Frontiers in bioengineering and biotechnology·2026
Same journal

Application and validation of AI-assisted 3D-Printed gastroduodenal anatomical variation models in specialized nursing training.

Frontiers in bioengineering and biotechnology·2026
See all related articles

Related Experiment Video

Updated: May 7, 2025

Oscillation and Reaction Board Techniques for Estimating Inertial Properties of a Below-knee Prosthesis
08:08

Oscillation and Reaction Board Techniques for Estimating Inertial Properties of a Below-knee Prosthesis

Published on: May 8, 2014

16.7K

Robust kinetics estimation from kinematics via direct collocation.

Kuan Wang1, Linlin Zhang1, Leichao Liang1

  • 1College of Rehabilitation Sciences, Shanghai University of Medicine and Health Sciences, Shanghai, China.

Frontiers in Bioengineering and Biotechnology
|January 2, 2025
PubMed
Summary
This summary is machine-generated.

Direct collocation with markerless motion capture accurately estimates joint moments despite noisy trajectory data. This biomechanics method shows robustness for general activity dynamics, with future work aiming for subject-specific accuracy.

Keywords:
direct collocationground reaction forcekinematicskineticssimulation

More Related Videos

Kinematic Analysis Using 3D Motion Capture of Drinking Task in People With and Without Upper-extremity Impairments
08:45

Kinematic Analysis Using 3D Motion Capture of Drinking Task in People With and Without Upper-extremity Impairments

Published on: March 28, 2018

10.5K
An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field
06:52

An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field

Published on: May 26, 2020

7.8K

Related Experiment Videos

Last Updated: May 7, 2025

Oscillation and Reaction Board Techniques for Estimating Inertial Properties of a Below-knee Prosthesis
08:08

Oscillation and Reaction Board Techniques for Estimating Inertial Properties of a Below-knee Prosthesis

Published on: May 8, 2014

16.7K
Kinematic Analysis Using 3D Motion Capture of Drinking Task in People With and Without Upper-extremity Impairments
08:45

Kinematic Analysis Using 3D Motion Capture of Drinking Task in People With and Without Upper-extremity Impairments

Published on: March 28, 2018

10.5K
An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field
06:52

An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field

Published on: May 26, 2020

7.8K

Area of Science:

  • Biomechanics and Movement Analysis
  • Kinetics and Kinematics Estimation
  • Markerless Motion Capture Technologies

Background:

  • Accurate joint moment analysis is critical in biomechanics for understanding movement.
  • Markerless motion capture offers a promising, non-invasive approach for motion analysis.
  • Noise in markerless motion capture trajectory data can challenge the accuracy of kinetic estimations.

Purpose of the Study:

  • To evaluate the effectiveness of the direct collocation method for estimating joint moments.
  • To assess the robustness of direct collocation when joint trajectory data contains varying levels of noise.
  • To investigate the impact of noise on kinetic analysis during walking and squatting.

Main Methods:

  • Simulated noise (varying levels and Gaussian) was added to joint center trajectories for walking and squatting.
  • Direct collocation method was employed, integrating joint center tracking with biological terms in the cost function.
  • Kinematics, joint moments, and ground reaction forces were calculated and compared across noise conditions.

Main Results:

  • The direct collocation method demonstrated robust estimation of joint moments (knee, ankle, hip flexion) across all tested noise levels for both walking and squatting.
  • Mean absolute errors (MAEs) for joint moments remained relatively low, indicating good performance even with significant trajectory noise.
  • Specific MAE values for walking and squatting tasks were detailed for different joint moments and noise conditions.

Conclusions:

  • The direct collocation method, enhanced with tracking and biological terms, reliably estimates joint moments from noisy markerless motion capture data.
  • The current approach is more suitable for general activity dynamics than subject-specific clinical applications.
  • Future research should focus on optimizing cost functions to improve the balance between robustness and accuracy for clinical relevance.