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

Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

800
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...
800
Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

919
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...
919
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

996
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...
996
Angle of Twist: Problem Solving01:13

Angle of Twist: Problem Solving

821
An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques of 300 N·m and 400 N·m, respectively. The modulus of rigidity is provided as 25 GPa. With the knowledge of the length and diameter of each segment, the twist angle between the two pulleys can be computed. First, a section cut is made between pulleys B and C, and the cut cross-section is analyzed using a free-body diagram. Given that the torque...
821
Kinematic Equations: Problem Solving01:15

Kinematic Equations: Problem Solving

29.4K
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...
29.4K
Equation of Motion: Rotation About a Fixed Axis01:18

Equation of Motion: Rotation About a Fixed Axis

571
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,...
571

You might also read

Related Articles

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

Sort by
Same author

Barbaloin Alleviates Lung Ischemia-Reperfusion Injury by Dual-Targeting IL-6 and PNP.

International journal of molecular sciences·2026
Same author

A tri-component organoid model reveals field-cancerized fibroblasts as key drivers of LUAD recurrence and drug resistance.

Molecular therapy. Oncology·2026
Same author

Multi-Component Synergy in Hepatic Trauma Repair: Network Pharmacology and Molecular Docking Decipher Panax Notoginseng's PI3K-Akt Pathway Activation.

Current pharmaceutical design·2026
Same author

Active Components and Potential Molecular Mechanisms of Panax Notoginseng in Alleviating Intestinal Ischemia/Reperfusion-induced Acute Lung Injury: A Study Integrating UHPLC-MS/MS, Network Pharmacology, and Molecular Docking.

Current medicinal chemistry·2026
Same author

Lactate Dynamic Changes as a Predictive Tool for Early Primary Graft Dysfunction After Lung Transplantation: A Retrospective Study.

Transplantation proceedings·2026
Same author

Integrating Network Pharmacology and Molecular Docking to Investigate the Action Mechanism of Poria Almond and Liquorice Decoction in Chronic Heart Failure: A Computational Prediction Study.

Current pharmaceutical design·2026
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: Feb 22, 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

1.4K

Multiple Local Solutions and Geomin Rotation.

Minami Hattori1, Guangjian Zhang1, Kristopher J Preacher2

  • 1a University of Notre Dame.

Multivariate Behavioral Research
|September 28, 2017
PubMed
Summary
This summary is machine-generated.

Geomin rotation in exploratory factor analysis often yields multiple local solutions. This simulation study found that 100 random starts are sufficient to identify these, with implications for interpreting factor analysis results.

Keywords:
Factor analysisfactor rotationgeominlocal solutions

More Related Videos

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling
06:55

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling

Published on: August 5, 2016

8.6K
Three-dimensional Super Resolution Microscopy of F-actin Filaments by Interferometric PhotoActivated Localization Microscopy iPALM
11:57

Three-dimensional Super Resolution Microscopy of F-actin Filaments by Interferometric PhotoActivated Localization Microscopy iPALM

Published on: December 1, 2016

11.2K

Related Experiment Videos

Last Updated: Feb 22, 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

1.4K
Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling
06:55

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling

Published on: August 5, 2016

8.6K
Three-dimensional Super Resolution Microscopy of F-actin Filaments by Interferometric PhotoActivated Localization Microscopy iPALM
11:57

Three-dimensional Super Resolution Microscopy of F-actin Filaments by Interferometric PhotoActivated Localization Microscopy iPALM

Published on: December 1, 2016

11.2K

Area of Science:

  • Psychometrics
  • Statistical Modeling

Background:

  • Factor rotation enhances interpretability in exploratory factor analysis.
  • Geomin rotation is a popular but potentially problematic rotation method.

Purpose of the Study:

  • Investigate the frequency and implications of multiple local solutions in geomin rotation.
  • Assess the effectiveness of geomin rotation parameters and starting points.

Main Methods:

  • Simulation study exploring geomin rotation under various conditions.
  • Analysis of rotated factor loadings and solution convergence.

Main Results:

  • Multiple local solutions are common in geomin rotation.
  • An epsilon value of 0.01 generally yields satisfactory factor loadings.
  • 100 random starts are adequate for detecting multiple solutions.
  • Sample global solutions may not always reflect the population global solution.

Conclusions:

  • Geomin rotation's susceptibility to local solutions requires careful consideration.
  • Parameter choices and multiple starting points are crucial for reliable factor analysis.
  • Researchers should be aware that sample results might not perfectly mirror population structures.