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introduction to mechanism

發布時間:2025/3/18 编程问答 29 豆豆
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net force
Δx\Delta xΔx

ΔV\Delta VΔV

Fnet=maF_{net}=maFnet?=ma

Ff=μFNF_f=\mu F_NFf?=μFN?

ac=v2ra_c=\frac{v^2}{r}ac?=rv2?

τ=rF\tau=rFτ=rF

p=mvp=mvp=mv

J=FΔt=mΔvJ=F\Delta t= m\Delta vJ=FΔt=mΔv

K=12mv2K=\frac{1}{2}mv^2K=21?mv2

Ug=mghU_g = mghUg?=mgh

W=FΔXW=F\Delta XW=FΔX

P=WnetΔtP=\frac{W_{net}}{\Delta t}P=ΔtWnet??

P=FvP=FvP=Fv

Fs=kΔxF_s = k \Delta xFs?=kΔx

Us=12kΔx2U_s = \frac{1}{2}k\Delta x^2Us?=21?kΔx2

Ts=2πmkT_s=2\pi \sqrt{\frac{m}{k}}Ts?=2πkm??

Tp=2π1gT_p = 2\pi\sqrt{\frac{1}{g}}Tp?=2πg1??

TR=Fdm2(l+πμdmπdm?μl)+Fμcdc2T_R = \frac{Fdm}{2}(\frac{l+\pi \mu d_m}{\pi d_m-\mu l})+\frac{F \mu_c d_c}{2}TR?=2Fdm?(πdm??μll+πμdm??)+2Fμc?dc??

張老師的Liverpool口音真是絕了

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arial;}#mermaid-svg-wLaoUvFpBdMK5gnV {color: rgba(0, 0, 0, 0.75);font: ;}Animal+int age+String gender+isMammal()+mate()DuckFishZebra

?=μ0NIAx+g\phi = \frac{\mu_0NIA}{x+g}?=x+gμ0?NIA?

Bg=?Ag=μ0NIX+gB_g=\frac{\phi}{Ag}=\frac{\mu_0NI}{X+g}Bg?=Ag??=X+gμ0?NI?

?μ0A(x+g)=NI\frac{\phi}{\mu_0A}(x+g)=NIμ0?A??(x+g)=NI

I=VinRcoil=10V50ΩI=\frac{V_{in}}{R_{coil}}=\frac{10V}{50\Omega}I=Rcoil?Vin??=50Ω10V?

Rx=xμ0AxR_x=\frac{x}{\mu_0Ax}Rx?=μ0?Axx?

Rg=gμ0AgR_g=\frac{g}{\mu_0Ag}Rg?=μ0?Agg?

AcA_cAc?

lcl_clc?

Ag=Ac(1?)A_g = A_c(1-\frac{}{})Ag?=Ac?(1??)

_p\_p_p

μ\muμ

lpl_plp?

AcA_cAc?

Ag=Ac(1?xx0)A_g = A_c(1-\frac{x}{x_0})Ag?=Ac?(1?x0?x?)

negating fringing effects at the air gap

不寫扣分

哈哈哈

AgA_gAg?

μ=μ0μr\mu = \mu_0 \mu_rμ=μ0?μr?

B=?A=mmf/RA=(Hl)/(l/μA)A=μHB=\frac{\phi}{A}=\frac{mmf/\R}{A}= \frac{(Hl)/(l/\mu A)}{A}=\mu HB=A??=Ammf/R?=A(Hl)/(l/μA)?=μH

μ\mu μ

μ\muμ is a constant

lc>>widthl_c >>widthlc?>>width

H1=H2H_1=H_2H1?=H2?

μ→∞\mu \rightarrow \inftyμ

H1=H2=HH_1 = H_2 = HH1?=H2?=H

moving horizontally

range of movement

air gap

μc\mu_cμc?

Rtot=Rgap=2gμ0AgR_{tot}=R_{gap}=\frac{2g}{\mu_0A_g}Rtot?=Rgap?=μ0?Ag?2g?

?=FR+d≈\phi = \frac{F}{R+d} \approx?=R+dF?

?=BgAg=μ0\phi = B_gA_g=\frac{\mu_0}{}?=Bg?Ag?=μ0??

finite probability

?()\phi()?()

RRR

RlR_lRl?

vt=iR+d(Li)dtv_t=iR+\frac{d(Li)}{dt}vt?=iR+dtd(Li)?

=iR+Ldidt+idLdxdxdt=iR+L\frac{di}{dt}+i\frac{dL}{dx}\frac{dx}{dt}=iR+Ldtdi?+idxdL?dtdx?

fmf_mfm?

fm=i22dLdxf_m = \frac{i^2}{2}\frac{dL}{dx}fm?=2i2?dxdL?

md2x1θdt2=fm?ff?fkm\frac{d^2x_1\theta}{dt^2}=f_m-f_f-f_kmdt2d2x1?θ?=fm??ff??fk?

recovering spring

friction force

rebelling force

md2xdt2+fdxdt+kx=fmm\frac{d^2 x}{dt^2}+f\frac{dx}{dt}+kx = f_mmdt2d2x?+fdtdx?+kx=fm?

v=iR+Ldidt+idLdxdxdtv=iR+L\frac{di}{dt}+i\frac{dL}{dx}\frac{dx}{dt}v=iR+Ldtdi?+idxdL?dtdx?

f(x)f(x)f(x)

iR+LiR+LiR+L

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總結

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