A vertical spring with constant k = 5 N/m and damping constant β = 6 kg/s has one end fixed to a wall, and a mass of 98 kg at the other end. Being in the position of equilibrium, the mass is propelled downward with a speed of 4 m/s. Suppose that on the system an external force acts in newtons given by f(t) = 8e^ −t What is the diferential equation and conditions that allow to fink the position of the spring as function of the time t, with t in seconds Determine a diferential equation of the position of the mass at any time “t”, with t in seconds
A vertical spring with constant k = 5 N/m and damping constant β = 6 kg/s has one end fixed to a wall, and a mass of 98 kg at the other end. Being in the position of equilibrium, the mass is propelled downward with a speed of 4 m/s. Suppose that on the system an external force acts in newtons given by f(t) = 8e^ −t What is the diferential equation and conditions that allow to fink the position of the spring as function of the time t, with t in seconds Determine a diferential equation of the position of the mass at any time “t”, with t in seconds
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.45P
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A vertical spring with constant k = 5 N/m and damping constant β = 6
kg/s has one end fixed to a wall, and a mass of 98 kg at the other end. Being in the position of equilibrium, the mass is propelled downward with a speed of 4 m/s. Suppose that on the system
an external force acts in newtons given by f(t) = 8e^
−t
What is the diferential equation and conditions that allow to fink the position of the spring as function of the time t, with t in seconds
Determine a diferential equation of the position of the mass at any time “t”, with t in seconds
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