Question

Consider a mass-spring system shown below. $x_1$ $x_2$ $k_1$ $k_2$ $k_3$ $m_1$ $m_2$ $F_1$ $F_2$ The system model is given by $m_1 frac{d^2x_1}{dt^2} + (k_1 + k_2)x_1 - k_2x_2 = F_1(t)$ $m_2 frac{d^2x_2}{dt^2} - k_2x_1 + (k_2 + k_3)x_2 = F_2(t)$ where $F_1(t)$ and $F_2(t)$ are the inputs to the system.

          Consider a mass-spring system shown below.
$x_1$
$x_2$
$k_1$
$k_2$
$k_3$
$m_1$
$m_2$
$F_1$
$F_2$
The system model is given by
$m_1 frac{d^2x_1}{dt^2} + (k_1 + k_2)x_1 - k_2x_2 = F_1(t)$
$m_2 frac{d^2x_2}{dt^2} - k_2x_1 + (k_2 + k_3)x_2 = F_2(t)$
where $F_1(t)$ and $F_2(t)$ are the inputs to the system.

$Consider a mass-spring system shown below. x1 x2 k1 k2 k3 m1 m2 F1 F2 The system model is given by m1 fracd^2x1dt^2 + (k1 + k2)x1 - k2x2 = F1(t) m2 fracd^2x2dt^2 - k2x1 + (k2 + k3)x2 = F2(t) where F1(t) and F2(t) are the inputs to the system.$

Added by Zachary S.

Fundamentals of Electric Circuits

Charles K. Alexander, Matthew N.O.… 3rd Edition

Chapter 17

Instant Answer

Solved by Expert Madhur L

07/11/2023

Step 1

Equation 1: $ m_1 \frac{d^2x_1}{dt^2} + (k_1 + k_2)x_1 - k_2x_2 = F_1(t) $ Equation 2: $ m_2 \frac{d^2x_2}{dt^2} - k_2x_1 + (k_2 + k_3)x_2 = F_2(t) $ Show more…

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FIND THE FOLLOWING TRANSFER FUNCTIONS X1(s)/F1(s) X2(s)/F1(s) X1(s)/F2(s) X2(s)/F2(s) Consider a mass-spring system shown below. The system model is given by m1 d^2x1/dt^2 + (k1 + k2)x1 - k2x2 = F1(t) m2 d^2x2/dt^2 - k2x1 + (k2 + k3)x2 = F2(t) where F1(t) and F2(t) are the inputs to the system.