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Problem2: 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 1 = 0; x(0) =x, and v(0) = 0) a- Determine the value of the angular frequency of free oscillation with no damping. (w. = ??) b- Deduce the value of friction factor (g =??) с- Write the expression of position as a function of time of the system, if the system is critically damped. (x(t) = ??) %3D d- Deduce the expression of the velocity of the system. (v(t) = ??) %3D e- Use the initial conditions to find the displacement at t = 1 s. (x(1) = ??) %3D

Problem2: 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 1 = 0; x(0) =x, and v(0) = 0) a- Determine the value of the angular frequency of free oscillation with no damping. (w. = ??) b- Deduce the value of friction factor (g =??) с- Write the expression of position as a function of time of the system, if the system is critically damped. (x(t) = ??) %3D d- Deduce the expression of the velocity of the system. (v(t) = ??) %3D e- Use the initial conditions to find the displacement at t = 1 s. (x(1) = ??) %3D

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Problem2: 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) Determine the value of the angular frequency of free oscillation with no damping. (wo a- = ??) b- Deduce the value of friction factor (g =??) с- 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) = ??) Use the initial conditions to find the displacement at t = 1 s. (x(t) = ??) e-
Transcribed Image Text:Problem2: 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) Determine the value of the angular frequency of free oscillation with no damping. (wo a- = ??) b- Deduce the value of friction factor (g =??) с- 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) = ??) Use the initial conditions to find the displacement at t = 1 s. (x(t) = ??) e-
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