An automobile suspension system is critically damped, and its period of free oscillation with no damping is 1 s. If the system is initially displaced by an amount and released with zero initial velocity (at t = 0; x(0) =x, and v(0) = 0) a- Determine the value of the angular frequency of free oscillation with no damping. (wo = ??) b- Deduce the value of friction factor (g =??) Write the expression of position as a function of time of the system, if the system is critically c- damped. (x(1) = ??) d- Deduce the expression of the velocity of the system. (v(t) = ??)

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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An automobile suspension system is critically damped, and its period of free oscillation with no
damping is 1 s. If the system is initially displaced by an amount and released with zero initial
velocity (at t = 0; x(0) =x, and v(0) = 0)
%3D
a- Determine the value of the angular frequency of free oscillation with no damping. (wo
= ??)
b- Deduce the value of friction factor (g =??)
c-
Write the expression of position as a function of time of the system, if the system is critically
damped. (x(1) = ??)
d- Deduce the expression of the velocity of the system. (v(t) = ??)
Transcribed Image Text:An automobile suspension system is critically damped, and its period of free oscillation with no damping is 1 s. If the system is initially displaced by an amount and released with zero initial velocity (at t = 0; x(0) =x, and v(0) = 0) %3D a- Determine the value of the angular frequency of free oscillation with no damping. (wo = ??) b- Deduce the value of friction factor (g =??) c- Write the expression of position as a function of time of the system, if the system is critically damped. (x(1) = ??) d- Deduce the expression of the velocity of the system. (v(t) = ??)
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