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 for Rotation01:30

Kinematic Equations for Rotation

973
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...
973
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

837
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.
Here, in order to determine the magnitude of velocity and acceleration for point...
837
Equation of Motion: Rotation About a Fixed Axis01:18

Equation of Motion: Rotation About a Fixed Axis

661
Consider a flywheel, having an uneven mass distribution, rotating steadily around a fixed axis. As this rotation occurs, the center of mass of the flywheel traces a circular path. Understanding the acceleration of this center of mass requires observing both its tangential and normal components.
The tangential component is dependent on the direction of the angular acceleration of the flywheel. The tangential component of the acceleration propels the flywheel along its path. On the other hand,...
661
Equation of Rotational Dynamics01:08

Equation of Rotational Dynamics

15.3K
Angular variables are introduced in rotational dynamics. Comparing the definitions of angular variables with the definitions of linear kinematic variables, it is seen that there is a mapping of the linear variables to the rotational ones. Linear displacement, velocity, and acceleration have their equivalents in rotational motion, which are angular displacement, angular velocity, and angular acceleration. Similar to the rotational variables, a mapping exists from Newton's second law of motion...
15.3K
Sequence Networks of Rotating Machines01:24

Sequence Networks of Rotating Machines

523
A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
523
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

1.1K
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it...
1.1K

You might also read

Related Articles

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

Sort by
Same author

The cytokine response of afferent lymph following orf virus reinfection of sheep.

Veterinary dermatology·2021
Same author

Cost of dialysis therapies in rural and remote Australia - a micro-costing analysis.

BMC nephrology·2019
Same author

Incorporating indigenous knowledge in health services: a consumer partnership framework.

Public health·2018
Same author

Short communication: Teat-end shape and udder-level milking characteristics and their associations with machine milking-induced changes in teat tissue condition.

Journal of dairy science·2018
Same author

An observational study investigating the association of ultrasonographically assessed machine milking-induced changes in teat condition and teat-end shape in dairy cows.

Animal : an international journal of animal bioscience·2018
Same author

New oral anticoagulants: a practical guide on prescription, laboratory testing and peri-procedural/bleeding management. Australasian Society of Thrombosis and Haemostasis.

Internal medicine journal·2014
Same journal

Bayesian Machine Learning Tools for Alcohol Use Disorder Research: The bpaup R Package.

Multivariate behavioral research·2026
Same journal

A Unified Framework for Jointly modelling Response Times and Item Position Effects in Computer-Based Learning Assessments.

Multivariate behavioral research·2026
Same journal

Generalizability Theory Applied to Daily Relationship Quality: Substantive and Statistical Directions.

Multivariate behavioral research·2026
Same journal

A Modularized Higher-Order Diagnostic Classification Model for Clustered Attribute Hierarchies.

Multivariate behavioral research·2026
Same journal

Generalizing Causal Effects to a Target Population Without Individual-Level Data from the Target Population.

Multivariate behavioral research·2026
Same journal

betaselectr: Selective (and Proper) Standardization in Structural Equation Models.

Multivariate behavioral research·2026
See all related articles

Related Experiment Video

Updated: Mar 26, 2026

Author Spotlight: Insights into the Analysis of Human Interaction with 3D Virtual Objects
06:36

Author Spotlight: Insights into the Analysis of Human Interaction with 3D Virtual Objects

Published on: October 18, 2024

1.5K

Generation and Objective Rotation of Generalized Learning Curves Using Matrix Language Products.

P Wood

    Multivariate Behavioral Research
    |January 28, 2016
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces SAS macros for Tucker's modified principal components analysis, aiding in the objective rotation of generalized learning curves. These tools simplify achieving psychologically meaningful solutions in data analysis.

    More Related Videos

    Quantifying Learning in Young Infants: Tracking Leg Actions During a Discovery-learning Task
    11:18

    Quantifying Learning in Young Infants: Tracking Leg Actions During a Discovery-learning Task

    Published on: June 1, 2015

    11.2K
    Robotic Mirror Therapy System for Functional Recovery of Hemiplegic Arms
    10:32

    Robotic Mirror Therapy System for Functional Recovery of Hemiplegic Arms

    Published on: August 15, 2016

    16.2K

    Related Experiment Videos

    Last Updated: Mar 26, 2026

    Author Spotlight: Insights into the Analysis of Human Interaction with 3D Virtual Objects
    06:36

    Author Spotlight: Insights into the Analysis of Human Interaction with 3D Virtual Objects

    Published on: October 18, 2024

    1.5K
    Quantifying Learning in Young Infants: Tracking Leg Actions During a Discovery-learning Task
    11:18

    Quantifying Learning in Young Infants: Tracking Leg Actions During a Discovery-learning Task

    Published on: June 1, 2015

    11.2K
    Robotic Mirror Therapy System for Functional Recovery of Hemiplegic Arms
    10:32

    Robotic Mirror Therapy System for Functional Recovery of Hemiplegic Arms

    Published on: August 15, 2016

    16.2K

    Area of Science:

    • Psychometrics
    • Quantitative Psychology
    • Data Analysis

    Background:

    • Principal components analysis is a common technique for data reduction.
    • Generalized learning curves are used to model performance changes over time.
    • Objective rotation of components is crucial for interpretable results, but often challenging.

    Purpose of the Study:

    • To present SAS macros for Tucker's modified principal components approach to generalized learning curves analysis.
    • To address the challenge of rotating components to achieve psychologically meaningful solutions.
    • To provide researchers with tools for objective rotation and factor score generation.

    Main Methods:

    • Development and application of two SAS macros for Tucker's modified principal components analysis.
    • Implementation of matrix manipulation for objective component rotation.
    • Description of three additional SAS macros for dimension reflection, objective rotation, and factor score generation.

    Main Results:

    • The presented SAS macros facilitate Tucker's modified principal components analysis for generalized learning curves.
    • Objective rotation of components is achieved, aligning with Tucker's desiderata.
    • The macros enable the generation of interpretable factor scores from rotated solutions.

    Conclusions:

    • The SAS macros offer a valuable tool for researchers analyzing generalized learning curves.
    • Objective rotation simplifies the interpretation of psychological meaningfulness in component analysis.
    • These tools enhance the rigor and efficiency of learning curve modeling.