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Related Concept Videos

Elastic Collisions: Introduction01:00

Elastic Collisions: Introduction

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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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Collisions in Multiple Dimensions: Problem Solving01:06

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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.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
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Elastic Collisions: Case Study01:15

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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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Collisions in Multiple Dimensions: Introduction01:05

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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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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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Types Of Collisions - I01:04

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When two objects come in direct contact with each other, it is called a collision. During a collision, two or more objects exert forces on each other in a relatively short amount of time. A collision can be categorized as either an elastic or inelastic collision. If two or more objects approach each other, collide and then bounce off, moving away from each other with the same relative speed at which they approached each other, the total kinetic energy of the system is said to be conserved. This...
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Cooperative Exploration and Networking While Preserving Collision Avoidance.

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    This study presents a multi-robot strategy for deploying sensor networks in complex environments. The approach ensures robots avoid collisions while efficiently exploring and mapping unknown areas.

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    Area of Science:

    • Robotics and Autonomous Systems
    • Environmental Monitoring
    • Network Deployment

    Background:

    • Effective surveillance of large, complex environments like underwater settings is crucial.
    • Information (sensor) networks are vital for achieving comprehensive environmental monitoring.
    • Deploying these networks in unknown areas presents significant challenges.

    Purpose of the Study:

    • To develop and validate a multi-robot strategy for deploying information nodes in unknown environments.
    • To integrate collision avoidance control laws into a cooperative networking strategy for safe multi-robot operation.
    • To ensure accurate self-localization and node localization within a global coordinate system during network construction.

    Main Methods:

    • Utilized a multi-robot system for iterative frontier exploration until complete workspace coverage.
    • Implemented novel collision avoidance control laws for inter-robot and robot-obstacle safety.
    • Integrated cooperative networking strategy with collision avoidance mechanisms.
    • Verified the system's performance using MATLAB simulations.

    Main Results:

    • Demonstrated a scalable and effective multi-robot networking strategy.
    • Validated the successful integration and performance of collision avoidance control laws.
    • Confirmed accurate localization of robots and deployed nodes in the global coordinate system.
    • Showcased the system's ability to explore and map unknown environments efficiently and safely.

    Conclusions:

    • The proposed multi-robot networking strategy combined with collision avoidance is effective for deploying sensor networks in complex, unknown environments.
    • The approach ensures safe and efficient exploration and localization, paving the way for enhanced surveillance capabilities.
    • MATLAB simulations confirm the scalability and practical applicability of the developed methods.