Find the work done for the force 𝐹⃗(x,y,z)= yz𝑖⃗ + xz 𝑗⃗ + (xy+2z) 𝑘⃗⃗ along the line segment from (1,0,-2) to (4,6,3)

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Chaitanya Yadav 2022-1-14

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1629130-find-the-work-done-for-the-force-x-y-z-yz-xz-xy-2z-along-the-line-segment-from

评论： JANICE 2023-11-28

采纳的回答： Torsten

Find the work done for the force 𝐹⃗(x,y,z)= yz𝑖⃗ + xz 𝑗⃗ + (xy+2z) 𝑘⃗⃗ along the line segment from (1,0,-2) to (4,6,3)

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Dinneharan Ravi Chamdran 2022-6-14

@Chaitanya Yadav can u share the link?

Torsten 2022-6-14

Look at the accepted answer.

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采纳的回答

Torsten 2022-1-14

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https://ww2.mathworks.cn/matlabcentral/answers/1629130-find-the-work-done-for-the-force-x-y-z-yz-xz-xy-2z-along-the-line-segment-from#answer_874770

https://www.youtube.com/watch?v=2OFvYo5aWXg

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Surya 2023-11-21

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1629130-find-the-work-done-for-the-force-x-y-z-yz-xz-xy-2z-along-the-line-segment-from#answer_1357272

在 MATLAB Online 中打开

clc
clear all
syms x y z t
f=input('Enter the components of 3D vector function [u,v,w] ');
r=input('Enter x,y,z in parametric form');
I=input('Enter the limits of integration for t in the form [a,b]');
a=I(1);b=I(2);
dr=diff(r,t);
F=subs(f,{x,y,z},r);
Fdr=sum(F.*dr);
I=int(Fdr,t,a,b)
P(x,y,z)=f(1);Q(x,y,z)=f(2); R(x,y,z)=f(3);
x1=linspace(0,1,10); y1=x1; z1=x1;
[X,Y,Z] = meshgrid(x1,y1,z1);
U=P(X,Y,Z); V=Q(X,Y,Z); W=R(X,Y,Z);
quiver3(X,Y,Z,U,V,W,1.5)
hold on
t1=linspace(0,1,10);
x=subs(r(1),t1);y=subs(r(2),t1);z=subs(r(3),t1);
plot3(x,y,z,'r')

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Raghav 2023-11-27

移动：DGM 2023-11-28

在 MATLAB Online 中打开

clear
clc
syms x y z t
f=[y*z,x*z,x*y+2*z];
r=[3*t+1,6*t,5*t-2];
I=[0,1];
a=I(1);b=I(2);
dr=diff(r,t);
F=subs(f,{x,y,z},r);
Fdr=sum(F.*dr);
I=int(Fdr,t,a,b)
P(x,y,z)=f(1);Q(x,y,z)=f(2); R(x,y,z)=f(3);
x1=linspace(0,1,10); y1=x1; z1=x1;
[X,Y,Z]=meshgrid(x1,y1,z1);
U=P(X,Y,Z); V=Q(X,Y,Z); W=R(X,Y,Z);
quiver3(X,Y,Z,U,V,W,1.5)
hold on
t1=linspace(0,1,10);
x=subs(r(1),t1);y=subs(r(2),t1);z=subs(r(3),t1);
plot3(x1,y1,z1,'r')