Consider the mechanical system shown below which is composed of a mass m = 4 kg, a spring of stiffness k = 400 N/m, and a damper of damping coefficient c = 48 Ns/m. There is no exciting force. The displacement of the mass from the static equilibrium position at any time is u. fixed support u spring, k m viscous damper, C smooth hace ----- J

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.9P
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Consider the mechanical system shown below which is
composed of a mass m = 4 kg, a spring of stiffness k = 400
N/m, and a damper of damping coefficient c = 48 Ns/m. There
is no exciting force. The displacement of the mass from the
static equilibrium position at any time is u.
fixed support
и
spring, k
ww.
m
viscous damper, C
smooth base
Find the solution of the displacement u, as a function of
time t.
Please calculate the natural frequency w, damping factor g.
Transcribed Image Text:Consider the mechanical system shown below which is composed of a mass m = 4 kg, a spring of stiffness k = 400 N/m, and a damper of damping coefficient c = 48 Ns/m. There is no exciting force. The displacement of the mass from the static equilibrium position at any time is u. fixed support и spring, k ww. m viscous damper, C smooth base Find the solution of the displacement u, as a function of time t. Please calculate the natural frequency w, damping factor g.
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