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Related Concept Videos

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In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
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It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
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Elastic Collisions: Introduction01:00

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An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...
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Elastic collision of a system demands conservation of both momentum and kinetic energy. To solve problems involving one-dimensional elastic collisions between two objects, the equations for conservation of momentum and conservation of internal kinetic energy can be used. For the two objects, the sum of momentum before the collision equals the total momentum after the collision. An elastic collision conserves internal kinetic energy, and so the sum of kinetic energies before the collision equals...
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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

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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.
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Types of Collisions - II01:19

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When two or more objects collide with each other, they can stick together to form one single composite object (after collision). The total mass of the object after the collision is the sum of the masses of the original objects, and it moves with a velocity dictated by the conservation of momentum. Although the system's total momentum remains constant, the kinetic energy decreases, and thus such a collision is an inelastic collision. Most of the collisions between objects in daily life are...
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MPI CyberMotion Simulator: Implementation of a Novel Motion Simulator to Investigate Multisensory Path Integration in Three Dimensions
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Collective evolution learning model for vision-based collective motion with collision avoidance.

David L Krongauz1, Teddy Lazebnik2

  • 1Department of Computer Science, Bar-Ilan University, Ramat-Gan, Israel.

Plos One
|May 10, 2023
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Summary
This summary is machine-generated.

This study introduces a novel vision-based model for collective motion with collision avoidance, simulating how individuals learn these behaviors through trial-and-error. The model successfully demonstrates emergent swarm dynamics, inspired by locusts.

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Area of Science:

  • Computational neuroscience
  • Artificial intelligence
  • Behavioral ecology

Background:

  • Collective motion (CM) and collision avoidance (CA) are fundamental behaviors observed across various natural systems, including fish schools, bird flocks, and insect swarms.
  • These behaviors are typically driven by environmental inputs like vision, smell, and air pressure, processed individually to guide group dynamics.
  • Understanding the learning mechanisms underlying emergent CM and CA is crucial for modeling complex biological systems.

Purpose of the Study:

  • To propose a novel vision-based collective motion with collision avoidance (VCMCA) model.
  • To simulate the collective evolution learning process in multi-agent systems.
  • To investigate the emergence of global CM and CA dynamics from individual learning processes.

Main Methods:

  • Development of a vision-based computational model (VCMCA) where learning agents perceive their environment visually.
  • Implementation of a trial-and-error learning approach for individual agents to acquire local CM and CA behaviors.
  • Evaluation of the VCMCA model using simulations of locust swarms to observe the evolution of collective behaviors.

Main Results:

  • The VCMCA model successfully simulates the emergence of local CM and CA behaviors through individual learning.
  • The model demonstrates how these learned individual behaviors scale up to produce global CM and CA dynamics within a swarm.
  • Simulations using locust swarms validated the biologically-inspired learning process and its ability to generate complex multi-agent dynamics.

Conclusions:

  • A biologically-inspired learning process can effectively generate multi-agent, multi-objective dynamics for collective motion and collision avoidance.
  • Vision-based learning is a viable mechanism for individuals to develop complex collective behaviors.
  • The VCMCA model provides a novel framework for studying the evolution of collective behaviors in natural systems.