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To analyze a hydraulic jump in a rectangular channel with a flow speed of 6 meters per second, follow these steps:Calculate Effective Upstream Velocity:When the downstream gate closes, a hydraulic jump forms, traveling upstream at 2 meters per second. This wave speed combines with the initial channel flow velocity, creating an effective upstream velocity.Identify Flow Velocities Before and After the Hydraulic Jump:Upstream of the hydraulic jump, the effective flow velocity includes both the...
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A simple model predicts energetically optimised jumping in dogs.

Katherine A J Daniels1, J F Burn2

  • 1Queen's School of Engineering, University of Bristol, Bristol BS8 1TR, UK k.daniels@bristol.ac.uk.

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Area of Science:

  • Biomechanics
  • Animal Locomotion
  • Robotics

Background:

  • Animals minimize energy use during locomotion.
  • Jumping is a versatile locomotor maneuver used by many terrestrial animals.
  • Understanding the energetic costs of jumping is crucial for analyzing animal movement.

Purpose of the Study:

  • To develop a simple ballistic model to identify energy-minimizing jump trajectories.
  • To investigate whether domestic dogs exhibit anticipatory control in their locomotor behavior during jumps.
  • To provide a model for analyzing energetically optimized behavior in constrained ballistic tasks.

Main Methods:

  • Developed a simple ballistic model for the body's center of mass during jumps.
  • The model identifies a unique trajectory that minimizes mechanical work for initiating a jump.
  • Applied the model to analyze jump trajectories of domestic dogs over raised obstacles.

Main Results:

  • The model successfully identified a unique, energy-minimizing jump trajectory.
  • Domestic dogs systematically used jump trajectories close to the energy-minimizing paths.
  • Dogs demonstrated complex anticipatory control of their locomotor behavior.

Conclusions:

  • The developed model can identify energy-optimized ballistic trajectories.
  • Domestic dogs exhibit sophisticated anticipatory control, adjusting jumps to minimize energy.
  • Further research is needed to understand the mechanisms behind dogs' perceptual and control capabilities.