Question

A2. A simplified car model is shown in Figure A3. It travels horizontally at a constant speed of v 20 miles perhour on a bumpy road (1 mile is approximately 1610 meters). The road surface is assumed to be rigid and has a sinusoidal profile. Both masses vibrate only in the vertical direction. m 900kg, m 60kg,k 1,000,000N/m m1 0.5 m 4k 0.1 m Figure A2. [15] [10] (1) Derive the equation of motion for the vertical vibration of the system (2) Determine the steady-state acceleration ofm

show steps please

Answer 1

r Velocity k(X*2) ←k k Sint -887t sin IT. 889 b

Ar Steady State, of Sino x ) 3

IA 9808 ナ1 AM h712 xo 981 C3421 3. bl 3、621 36.2 O, OSS2. 2

x X, sinat 咋 rm

%matalb code
clc;clear all;
m=[900 0;0 60];
k=[5 -1;-1 1]*10^6;
f=[2*10^5;0];
w=17.889;
A=(-1*w.^2*m)+k;
X=A\f;

0.0542 0.0552