[題目] 彈簧 Normal mode 的問題
┌──┐ ┌──┐ ┌──┐
│ m1 │ │ m2 │ │ m3 │
∣ ∣﹋﹋﹋ | |﹋﹋﹋| |
└──┘ └──┘ └──┘
→x1 →x2 →x3
假設彈簧常數都是k
求normal mode
因為有三塊木塊所以normal mode 有三個?????
再來寫牛頓也寫不下手....
d
m1(─)^2 x1 = -kx1 + kx2
dt
d
m2(─)^2 x2 = kx1 - kx2 + kx3
dt
d
m3(─)^2 x3 = kx2 - kx3
dt
這樣寫對嗎??
而所謂的NM是指解出來的3個X(t) ??
麻煩請高手指點迷津
感謝
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