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HW5_3 Three carts, interconnected by springs, are subject to the loads P1, P2 and P3, as shown in the figure. The displacements of the carts, u1, u2 & u3, are governed by the equilibrium equations: Let k;=k;=k3= 25 N/m, k,=k6=10 N/m, ks=5 N/m, k,=ks=2 N/m Let P1=P2=P3 = 2N. Solve for the displacements. Present the results in a complete sentence using fprintf P1 – kju1 + k5(u3 – u1) + k4(u2 – u1) = 0; P2 – kzu2 – k4(u2 – 41) + k6(u3 – u2) = 0; P3 – kju3 – kgu3 – kzu3 – k6(u3 – u2) – k5(u3 – 41) = 0), P2 ke P3 P Cart 1 Cart 2 Cart 3

HW5_3 Three carts, interconnected by springs, are subject to the loads P1, P2 and P3, as shown in the figure. The displacements of the carts, u1, u2 & u3, are governed by the equilibrium equations: Let k;=k;=k3= 25 N/m, k,=k6=10 N/m, ks=5 N/m, k,=ks=2 N/m Let P1=P2=P3 = 2N. Solve for the displacements. Present the results in a complete sentence using fprintf P1 – kju1 + k5(u3 – u1) + k4(u2 – u1) = 0; P2 – kzu2 – k4(u2 – 41) + k6(u3 – u2) = 0; P3 – kju3 – kgu3 – kzu3 – k6(u3 – u2) – k5(u3 – 41) = 0), P2 ke P3 P Cart 1 Cart 2 Cart 3

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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HW5_3 Three carts, interconnected by springs, are subject to the loads P1, P2 and P3, as shown in the figure. The displacements of the carts, u1, uz & u3, are governed by the equilibrium equations: Let k;=k;=k3= 25 N/m, k=ks=10 N/m, ks=5 N/m, k;=ks=2 N/m Let P1=P2=P3 = 2N. Solve for the displacements. Present the results in a complete sentence using fprintf P¡ – kju1+ ks(u3 – u1) + k4(u2 – u1) = 0; P2 – kzu2 – k4(u2 – u1) + k6(u3 – u2) = 0; P3 – kjuz – ksu 3 – k3u3 – k6(u3 – u2) – k5(u3 – u1) = 0. k- P2 ke P3 ks Cart 1 Cart 2 S Cart 3
Transcribed Image Text:HW5_3 Three carts, interconnected by springs, are subject to the loads P1, P2 and P3, as shown in the figure. The displacements of the carts, u1, uz & u3, are governed by the equilibrium equations: Let k;=k;=k3= 25 N/m, k=ks=10 N/m, ks=5 N/m, k;=ks=2 N/m Let P1=P2=P3 = 2N. Solve for the displacements. Present the results in a complete sentence using fprintf P¡ – kju1+ ks(u3 – u1) + k4(u2 – u1) = 0; P2 – kzu2 – k4(u2 – u1) + k6(u3 – u2) = 0; P3 – kjuz – ksu 3 – k3u3 – k6(u3 – u2) – k5(u3 – u1) = 0. k- P2 ke P3 ks Cart 1 Cart 2 S Cart 3
Expert Solution
Step 1

MatLab script is as follows

clc

clear all

close all

k1=25;k2=25;k3=25;k4=10;k6=10;k7=2;k8=2;k5=5;

p1=2;p2=2;p3=2;

syms u1 u2 u3

eqn1=p1-k1*u1+k5*(u3-u1)+k4*(u2-u1)==0;

eqn2=p2-k2*u2-k4*(u2-u1)+k6*(u3-u2)==0;

eqn3=p3-k7*u3-k8*u3-k3*u3-k6*(u3-u2)-k5*(u3-u1)==0;

[A,B] = equationsToMatrix([eqn1, eqn2, eqn3], [u1, u2, u3]);

u=linsolve(A,B);

fprintf('The displacement of cart u_1 is %.4e u_2 is %.4f and u_3 is %.4g',double(u(1)),double(u(2)),double(u(3)))

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