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Related Concept Videos

Static Equilibrium - II01:07

Static Equilibrium - II

Static equilibrium is a special case in mechanics that is very important in everyday life. It occurs when the net force and the net torque on an object or system are both zero. This means that both the linear and angular accelerations are zero. Thus, the object is at rest, or its center of mass is moving at a constant velocity. However, this does not mean that no forces are acting on the object within the system. In fact, there are very few scenarios on Earth in which no forces are acting upon...
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A rigid body is said to be in dynamic equilibrium when both its linear and angular acceleration are zero, relative to an inertial frame of reference. This means that a body in equilibrium can be moving, but only when its linear and angular velocities are constant. A rigid body is said to be in static equilibrium when it is at rest in the selected frame of reference. The distinction between static equilibrium (e.g., a state of rest) and dynamic equilibrium (e.g, a state of uniform motion) is...
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Bending and torsional moments are two fundamental concepts in structural engineering. They play an important role in understanding the behavior of materials and structures under different loading conditions.
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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?
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C. elegans Tracking and Behavioral Measurement
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Published on: November 17, 2012

Statics and dynamics of the wormlike bundle model.

Claus Heussinger1, Felix Schüller, Erwin Frey

  • 1Université de Lyon, Univ. Lyon I, Laboratoire de Physique de la Matière Condensée et Nanostructures, CNRS, UMR 5586, 69622 Villeurbanne, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 7, 2010
PubMed
Summary

We developed a wormlike bundle model to describe the mechanics of polymer bundles. This model reveals how filament and crosslink properties influence bundle rigidity, offering insights into cytoskeletal functions.

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Area of Science:

  • Biophysics
  • Polymer Physics
  • Cell Biology

Background:

  • Cytoskeletal polymer bundles are crucial for cellular functions.
  • Their mechanical properties dictate cellular behavior, including movement and signaling.

Purpose of the Study:

  • To derive a generic wormlike bundle model for polymer bundle statics and dynamics.
  • To investigate the influence of filament and crosslink properties on bundle mechanics.
  • To analyze the impact of bundle architecture and pretwist on mechanical properties.

Main Methods:

  • Detailed derivation of a wormlike bundle model.
  • Inclusion of bending, twist, and shear deformations.
  • Analysis of mode-number dependent effective rigidities.
  • Comparison with experimental data for microtubules.

Main Results:

  • Competition between filament and crosslink elasticity leads to renormalized, mode-number dependent rigidities.
  • Bundle architecture (uniform vs. shell-like) and pretwist significantly affect mechanical properties.
  • Universal ratios of bending rigidity are predicted for different architectures.
  • Predictions show reasonable agreement with experimental data for microtubules.

Conclusions:

  • The wormlike bundle model provides a comprehensive framework for understanding polymer bundle mechanics.
  • Effective bending rigidity is influenced by filament arrangement and crosslinking, with distinct universal ratios for different architectures.
  • Pretwist (helicity) and protofilament number in microtubules affect their effective bending rigidity, offering testable predictions.