Model of maximum walking speed. A walking person is modelled as a mass m and its center of gravity rotates around a circle of radius l (leg+hip length) with a speed v. The leg touches the ground. The speed v of the walking person is at the top of the trajectory. Derive the maximum speed v that still allows contact with the ground. Express it in terms of the variables. Consider now that the system is submerged in a liquid. Model the effect of the liquid as a buoyant force that is x fraction of the weight force. Neglect moment of inertia and derive the new “walking speed” in terms of x and the variables. Neglect drag.
Model of maximum walking speed. A walking person is modelled as a mass m and its center of gravity rotates around a circle of radius l (leg+hip length) with a speed v. The leg touches the ground. The speed v of the walking person is at the top of the trajectory. Derive the maximum speed v that still allows contact with the ground. Express it in terms of the variables. Consider now that the system is submerged in a liquid. Model the effect of the liquid as a buoyant force that is x fraction of the weight force. Neglect moment of inertia and derive the new “walking speed” in terms of x and the variables. Neglect drag.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.63P
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Model of maximum walking speed. A walking person is modelled as a mass m and its center of gravity rotates around a circle of radius l (leg+hip length) with a speed v. The leg touches the ground. The speed v of the walking person is at the top of the trajectory.
Derive the maximum speed v that still allows contact with the ground. Express it in terms of the variables.
Consider now that the system is submerged in a liquid. Model the effect of the liquid as a buoyant force that is x fraction of the weight force. Neglect moment of inertia and derive the new “walking speed” in terms of x and the variables. Neglect drag.
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