大学物理简谐波方程叠加2个谐波y1=5cos(6x-900t),y2=5cos(6x-900t-2),求叠加以后的方程(resultant wave).
问题描述:
大学物理简谐波方程叠加
2个谐波y1=5cos(6x-900t),y2=5cos(6x-900t-2),求叠加以后的方程(resultant wave).
答
Y1+Y2=2cos{(6x-900t)+(6x-900t-2)]/2}*cos{[6x-900t)-(6x-900t-2)]/2}
=2cos(6x-900t-1)*cos1
=2(cos1)cos(6x-900t-1)
答
楼上的算错了,纠正如下:
y1+y2=5cos(6x-900t)+5cos(6x-900t-2)
=5*2*cos{[(6x-900t)+(6x-900t-2)]/2}*cos{[(6x-900t)-(6x-900t-2)]/2}
=10*cos1*cos(6x-900t-1)