k14a.mws

Задача с муфтой. Кинематика

>    restart;

Дано

>    x5:=9:y5:=4:w:=6:epsilon:=-2:

>    x1:=0:y1:=0:

>    xd:=9+3*cos(w*t+Pi+epsilon*t^2/2): yd:=4+3*sin(w*t+Pi+epsilon*t^2/2):

>    eq1:=(xd-xc)^2+(yd-yc)^2=36:

>    eq2:=(x1-xc)^2+(y1-yc)^2=16:

>    eq3:=simplify(eq2-eq1):

>    xc:=solve(eq3,xc):

>    eq1:

>    R:=solve(eq1,yc):#assign(R):

>    yc:=R[1]:

>    simplify(subs(t=0,yc));

4

>    k:=(yd-yc)/(xd-xc):

>    yb:=yc+k*(xb-xc):

>    eq3:=xb^2+yb^2=25:

>    R2:=solve(eq3,xb):

>    xb:=R2[2]:

>    simplify(subs(t=0,R2[2]));

3

>    S:=sqrt((xb-xc)^2+(yb-yc)^2):

>    v:=simplify(subs(t=0,diff(S,t)));

v := 12

>    a:=simplify(subs(t=0,diff(S,t$2)));

a := -118

>    simplify(subs(t=0,[xc,xb,xd,yc,yb,yd]));

[0, 3, 6, 4, 4, 4]



Кирсанов М.Н.
Maple и Maplet. Решения задач механики. СПб.:Лань, 2012.