Unusual behavior of rolling and spinning bodies, like the tippe top and a spinning egg
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Coupled, multi-rigid body systems, such as the acrobot (acrobat robot on the high bar)
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Conservation of angular momentum and interesting applications, such as astronaut reorientation in space ("Elroy's beanie"), tail-assisted pitch control of jumping lizards (suggesting the use of tail…
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Gyro-stabilization of ships (watercraft rocking due to waves) and control momentum gyroscopes for spacecraft. The company that makes the ship-stabilizing gyro is https://www.seakeeper.com
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Impact dynamics or impulsive dynamics, instantaneous dynamics vs. continuous dynamics. Applications include passive dynamic walking (of a simple compass bipedal walker), jumping popper toy (quick re…
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Continuous systems of changing geometry modeled as quasi-rigid bodies (that is bodies with time-varying geometry) with time-varying moment of inertia, e.g., the flying snake. More about flying snake…
Description:
Explore advanced dynamics applications in this 55-minute lecture covering coupled rigid bodies, impulsive dynamics, and fascinating biological systems. Delve into the unusual behavior of rolling and spinning bodies, multi-rigid body systems like the acrobot, and conservation of angular momentum with examples ranging from astronaut reorientation to how cats land on their feet. Examine gyro-stabilization in ships and spacecraft, impact dynamics in passive dynamic walking and jumping toys, and the ballistic jaw propulsion of trap-jaw ants. Conclude with an analysis of continuous systems with changing geometry, such as flying snakes, modeled as quasi-rigid bodies. Gain insights into the intersection of physics and biology, with potential applications in robotics and engineering design.