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we-know-the-equation-of-a-simple-harmonic-wave-going-to-left-to-right-is-y-asin-2pi-vt-x-if-we-put-t-0-and-x-0-we-get-y-0-and-if-we-put-t-0-and-x-0-25-we-get-y-a-But-How-could-thi




Question Number 152346 by n0y0n last updated on 27/Aug/21
we know the equation of a simple harmonic wave  going to left to right is,   y=asin((2π)/λ)(vt−x)    if we put t=0 and x=0 ,  we get y=0  and if we put t=0 and x=0.25λ ,  we get y= a   !!  But How  could this be possible?  How could right side particles start oscillating  before the left ones?Don′t we need a   certain time gap  for right  side particles   to start oscillating??
$$\mathrm{we}\:\mathrm{know}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{a}\:\mathrm{simple}\:\mathrm{harmonic}\:\mathrm{wave} \\ $$$$\mathrm{going}\:\mathrm{to}\:\mathrm{left}\:\mathrm{to}\:\mathrm{right}\:\mathrm{is}, \\ $$$$\:\mathrm{y}=\mathrm{asin}\frac{\mathrm{2}\pi}{\lambda}\left(\mathrm{vt}−\mathrm{x}\right)\: \\ $$$$\:\mathrm{if}\:\mathrm{we}\:\mathrm{put}\:\mathrm{t}=\mathrm{0}\:\mathrm{and}\:\mathrm{x}=\mathrm{0}\:, \\ $$$$\mathrm{we}\:\mathrm{get}\:\mathrm{y}=\mathrm{0} \\ $$$$\mathrm{and}\:\mathrm{if}\:\mathrm{we}\:\mathrm{put}\:\mathrm{t}=\mathrm{0}\:\mathrm{and}\:\mathrm{x}=\mathrm{0}.\mathrm{25}\lambda\:, \\ $$$$\mathrm{we}\:\mathrm{get}\:\mathrm{y}=\:\mathrm{a}\:\:\:!! \\ $$$$\mathrm{But}\:\mathrm{How}\:\:\mathrm{could}\:\mathrm{this}\:\mathrm{be}\:\mathrm{possible}? \\ $$$$\mathrm{How}\:\mathrm{could}\:\mathrm{right}\:\mathrm{side}\:\mathrm{particles}\:\mathrm{start}\:\mathrm{oscillating} \\ $$$$\mathrm{before}\:\mathrm{the}\:\mathrm{left}\:\mathrm{ones}?\mathrm{Don}'\mathrm{t}\:\mathrm{we}\:\mathrm{need}\:\mathrm{a}\: \\ $$$$\mathrm{certain}\:\mathrm{time}\:\mathrm{gap}\:\:\mathrm{for}\:\mathrm{right}\:\:\mathrm{side}\:\mathrm{particles} \\ $$$$\:\mathrm{to}\:\mathrm{start}\:\mathrm{oscillating}?? \\ $$

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