設(shè)
X1=0.173*sin(w*t)
X2=A*sin(w*t+Y),振幅A,相差Y
合運(yùn)動(dòng) X=0.2*sin(w*t+Pi/6)=0.2*sin(wt)*cos(Pi/6)+0.2*cos(wt)*sin(Pi/6)=X1+X2=0.173*sin(w*t)+A*sin(wt)*cos(Y)+A*cos(wt)*sin(Y)
sin(wt)的系數(shù)相等,cos(wt)的系數(shù)相等,求未知數(shù) A和相差Y
0.2*3^0.5/2=0.173+A*cos(Y)
0.2/2=A*sin(Y)
取3^0.5=1.73
得到Y(jié)=Pi/2
A=0.1
即一二振動(dòng)相差Pi/2
另外如果合運(yùn)動(dòng)滯后第一運(yùn)動(dòng),即-Pi/6
則得到Y(jié)=-Pi/2,振幅不變