Question

1. Obtain the transfer function $X_2(S)/F(S)$ of the mechanical system shown in Figure. $K_1 = 4 N/m$ $x_1(t)$ $K_2 = 5 N/m$ $f_{v1} = 3 N-s/m$ $M_1 = 1 kg$ $f_{v2} = 3 N-s/m$ $M_2 = 2 kg$ $f_{v3} = 2 N-s/m$

Name: 1 obtain the transfer function x2sfs of the mechanical system shown in figure k1 4 nm x1t k2 5 nm fv1 3 n sm m1 1 kg fv2 3 n sm m2 2 kg fv3 2 n sm 70684
Uploaded: 2023-06-19T01:53:20-08:00
Duration: 6 min 14 s
Channel: Adi S
Description: 1 obtain the transfer function x2sfs of the mechanical system shown in figure k1 4 nm x1t k2 5 nm fv1 3 n sm m1 1 kg fv2 3 n sm m2 2 kg fv3 2 n sm 70684

          1. Obtain the transfer function $X_2(S)/F(S)$ of the mechanical system shown in Figure.
$K_1 = 4 N/m$
$x_1(t)$ $K_2 = 5 N/m$
$f_{v1} = 3 N-s/m$ $M_1 = 1 kg$ $f_{v2} = 3 N-s/m$
$M_2 = 2 kg$ $f_{v3} = 2 N-s/m$

Added by Agust-N P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/19/2023

Step 1

For $M_1$, we have: $M_1\ddot{x}_1(t) + f_{v1}\dot{x}_1(t) + f_{v2}(\dot{x}_1(t) - \dot{x}_2(t)) + K_1x_1(t) - K_2(x_2(t) - x_1(t)) = 0$ For $M_2$, we have: $M_2\ddot{x}_2(t) + f_{v2}(\dot{x}_2(t) - \dot{x}_1(t)) + f_{v3}\dot{x}_2(t) + K_2(x_2(t) - x_1(t)) = F(t)$ Show more…

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1. Obtain the transfer function $X_2(S)/F(S)$ of the mechanical system shown in Figure. $K_1 = 4 N/m$ $x_1(t)$ $K_2 = 5 N/m$ $f_{v1} = 3 N-s/m$ $M_1 = 1 kg$ $f_{v2} = 3 N-s/m$ $M_2 = 2 kg$ $f_{v3} = 2 N-s/m$