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教材: 物理学(第六版)下册
东南大学等七所工科院校 编 马文蔚 周雨青 解希顺 改编
角频率(圆频率) w
w 2 = k m w ^ 2 = \frac{k}{m} w2=mk简谐振动方程
x = A c o s ( w t + ϕ ) x = Acos(wt + \phi) x=Acos(wt+ϕ) 速度v v = − w A s i n ( w t + ϕ ) v = -w Asin(wt + \phi) v=−wAsin(wt+ϕ) 加速度 a = − w 2 A c o s ( w t + ϕ ) a = -w^2Acos(wt + \phi) a=−w2Acos(wt+ϕ)周期
T = 2 π m k T = 2\pi\sqrt{\frac{m}{k}} T=2πkm 频率 v = 1 2 π k m v = \frac{1}{2\pi} \sqrt{\frac{k}{m}} v=2π1mk 常数A, ϕ \phi ϕ 的确定 A = x 0 2 + v 0 2 w 2 A = \sqrt{x_0^2 + \frac{v_0^2}{w^2}} A=x02+w2v02 t a n ϕ = − v 0 w x 0 tan\phi = \frac{-v_0}{wx_0} tanϕ=wx0−v0d 2 θ d t 2 = − g l θ \frac{d^2 θ}{dt^2} = -\frac{g}{l}θ dt2d2θ=−lgθ
角频率和周期分别为 w = g l w = \sqrt{\frac{g}{l}} w=lg T = 2 π l g T = 2\pi \sqrt{\frac{l}{g}} T=2πgld 2 θ d t 2 = − m g l J θ \frac{d^2θ}{dt^2} = -\frac{mgl}{J} θ dt2d2θ=−Jmglθ
角频率和周期分别为 w = m g l J w = \sqrt{\frac{mgl}{J}} w=Jmgl T = 2 π J m g l T = 2\pi \sqrt{\frac{J}{mgl}} T=2πmglJE = 1 2 m w 2 A 2 = 1 2 k A 2 E = \frac{1}{2}mw^2A^2 = \frac{1}{2}kA^2 E=21mw2A2=21kA2
A = A 1 2 + A 2 2 + 2 A 1 A 2 c o s ( ϕ 2 − ϕ 1 ) A = \sqrt{A_1^2 + A_2^2 + 2A_1A_2cos(\phi_2 ~-~ \phi_1)} A=A12+A22+2A1A2cos(ϕ2 − ϕ1)
t a n ϕ = A 1 s i n ϕ 1 + A 2 s i n ϕ 2 A 1 c o s ϕ 1 + A 2 c o s ϕ 2 tan \phi = \frac{A_1sin\phi_1 + A_2sin\phi_2}{A_1cos\phi_1 + A_2cos\phi_2} tanϕ=A1cosϕ1+A2cosϕ2A1sinϕ1+A2sinϕ2q = Q 0 c o s ( w t + ϕ ) q = Q_0cos(wt + \phi) q=Q0cos(wt+ϕ)
角频率 w = 1 L C w = \sqrt{\frac{1}{LC}} w=LC1 频率 v = w 2 π = 1 2 π L C v = \frac{w}{2\pi} = \frac{1}{2\pi\sqrt{LC}} v=2πw=2πLC1转载地址：http://hbayk.baihongyu.com/