简谐运动 / Simple Harmonic Motion
a = −ω²x （定义式）
ω = √(k/m) = 6.32 rad/s
T = 2π√(m/k) = 0.99 s
位移 x
速度 v
加速度 a
a = −ω²x
◦ 弹簧参数 / Spring
◦ 运动参数 / Motion
演示要点 / Key points
x
位移是余弦函数
x(t) = A·cos(ωt), starting from max displacement
v
速度领先位移90°
v(t) = -Aω·sin(ωt), velocity leads displacement by π/2
E
机械能守恒
KE + PE = ½kA² = constant, energy converts back and forth
T
等时性 / Isochronism
Period T is independent of amplitude A (for ideal spring)