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

Geometric Mean01:15

Geometric Mean

3.9K
The mean is a measure of the central tendency of a data set. In some data sets, the data is inherently multiplicative, and the arithmetic mean is not useful. For example, the human population multiplies with time, and so does the credit amount of financial investment, as the interest compounds over successive time intervals.
In cases of multiplicative data, the geometric mean is used for statistical analysis. First, the product of all the elements is taken. Then, if there are n elements in the...
3.9K
Rigid Body Equilibrium Problems - I00:49

Rigid Body Equilibrium Problems - I

5.4K
A rigid body is said to be in static equilibrium when the net force and the net torque acting on the system is equal to zero. To solve for rigid body equilibrium problems, do the following steps.
5.4K
Rigid Body Equilibrium Problems - II01:21

Rigid Body Equilibrium Problems - II

7.9K
A rigid body is in static equilibrium when the net force and the net torque acting on the system are equal to zero.
Consider two children sitting on a seesaw, which has negligible mass. The first child has a mass (m1) of 26 kg and sits at point A, which is 1.6 meters (r1) from the pivot point B; the second child has a mass (m2) of 32 kg and sits at point C. How far from the pivot point B should the second child sit (r2) to balance the seesaw?
7.9K
Kinetic Energy for a Rigid Body01:13

Kinetic Energy for a Rigid Body

527
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.
527
Equation of Motion for a Rigid Body01:12

Equation of Motion for a Rigid Body

615
The movement of a rigid object can be understood through the equations that explain both translational and rotational motion about the center of mass of the object, point G. This center of mass is the point where the equation of motion for translational motion comes into play, as per Newton's Second Law.
The combined moments generated about the center of mass of the object are equal to the rate of change of the angular momentum of the body. An external force, when applied at a different...
615
Virtual Work for a System of Connected Rigid Bodies01:06

Virtual Work for a System of Connected Rigid Bodies

745
Virtual work is a powerful method used to solve problems involving several connected rigid bodies. When the system is in equilibrium, virtual work is zero. This allows the calculation of the resulting forces when a system undergoes a virtual displacement. When attempting to analyze such a system, first, use a free-body diagram, where an independent coordinate represents the configuration of the links, and mark its deflected position resulting from the positive virtual displacement.
Next,...
745

You might also read

Related Articles

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

Sort by
Same author

Click Breeding: Toward programmable crop design.

Trends in plant science·2026
Same author

Collapsible scissored surfaces.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Reversible superdeformability of hiPSC epithelial cortinoids.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Rotational 3D printing of active-passive filaments and lattices with programmable shape morphing.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Pragmatic Communication in Multi-Agent Collaborative Perception.

IEEE transactions on pattern analysis and machine intelligence·2026
Same author

Discovery, Optimization, and Biological Evaluation of 2-Cyano-2-(9<i>H</i>-xanthen-9-ylidene)acetamide Derivatives as ZNF207 Inhibitors for Anti-Glioma Therapy.

Journal of medicinal chemistry·2026

Related Experiment Video

Updated: Jan 26, 2026

Preparation of Mica and Silicon Substrates for DNA Origami Analysis and Experimentation
12:03

Preparation of Mica and Silicon Substrates for DNA Origami Analysis and Experimentation

Published on: July 23, 2015

15.0K

Rigidity percolation and geometric information in floppy origami.

Siheng Chen1, L Mahadevan2,3,4,5

  • 1John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138.

Proceedings of the National Academy of Sciences of the United States of America
|April 7, 2019
PubMed
Summary

Origami structures transition from floppy to rigid states by reducing excess folds and adding constraints. This transition, studied in Miura-ori tessellations, reveals scale-invariant information storage through constraint redundancy.

Keywords:
informationorigamipercolationrigidityscale-free

More Related Videos

Assembly of Gold Nanorods into Chiral Plasmonic Metamolecules Using DNA Origami Templates
09:17

Assembly of Gold Nanorods into Chiral Plasmonic Metamolecules Using DNA Origami Templates

Published on: March 5, 2019

9.2K
Designing a Bio-responsive Robot from DNA Origami
13:32

Designing a Bio-responsive Robot from DNA Origami

Published on: July 8, 2013

22.8K

Related Experiment Videos

Last Updated: Jan 26, 2026

Preparation of Mica and Silicon Substrates for DNA Origami Analysis and Experimentation
12:03

Preparation of Mica and Silicon Substrates for DNA Origami Analysis and Experimentation

Published on: July 23, 2015

15.0K
Assembly of Gold Nanorods into Chiral Plasmonic Metamolecules Using DNA Origami Templates
09:17

Assembly of Gold Nanorods into Chiral Plasmonic Metamolecules Using DNA Origami Templates

Published on: March 5, 2019

9.2K
Designing a Bio-responsive Robot from DNA Origami
13:32

Designing a Bio-responsive Robot from DNA Origami

Published on: July 8, 2013

22.8K

Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Computational Geometry

Background:

  • Origami structures possess multiple energetically equivalent geometric states.
  • Reducing excess folds in origami leads to rigidity and fewer accessible states.

Purpose of the Study:

  • To quantify the transition from a floppy to a rigid state in origami.
  • To analyze the effect of folding constraints on the Miura-ori tessellation's degrees of freedom.

Main Methods:

  • Investigated the Miura-ori tessellation with varying degrees of folding constraints.
  • Quantified the reduction in degrees of freedom as constraints were added.
  • Analyzed the mechanical cooperativity and constraint redundancy in nonlinear regimes.

Main Results:

  • Adding constraints to a floppy Miura-ori tessellation reduces degrees of freedom linearly, then nonlinearly.
  • In the nonlinear regime, mechanical cooperativity emerges due to constraint redundancy.
  • Degrees of freedom exhibit scale-invariant dependence on constraint density.

Conclusions:

  • A percolation transition in constraint redundancy governs scale-invariant information storage in origami.
  • Excess folds can be strategically constrained to store geometric information in a predictable manner.