If x-A - 2 at t-0- find phase constant - in x- Asin w t- At t-0- a particle executing shm is going along x axis-

At t=0,x=A/2 x=Asin(w*0+α) A/2=Asin(α) = gt;sin(α)=1/2 = gt;α=sin^ 1(1/2) =30 degree or π/6 therefore phase constant α =30 degree or π/6 ...

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Standard XII

Mathematics

First Derivative Test for Local Maximum

If x=A / 2 at...

Question

If x=A/2 at t=0, find phase constant α in x=Asin(wt+α) . At t=0 , a particle executing shm is going along x axis.

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Solution

at t=0,x=A/2
x=Asin(w*0+α)
A/2=Asin(α)
=>sin(α)=1/2
=>α=sin^-1(1/2)
=30 degree or π/6
therefore phase constant α =30 degree or π/6

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If x=A/2 at t=0, find phase constant α in x=Asin(wt+α) . At t=0 , a particle executing shm is going along x axis.

at t=0,x=A/2 x=Asin(w*0+α) A/2=Asin(α) =>sin(α)=1/2 =>α=sin^-1(1/2) =30 degree or π/6 therefore phase constant α =30 degree or π/6

at t=0,x=A/2
x=Asin(w*0+α)
A/2=Asin(α)
=>sin(α)=1/2
=>α=sin^-1(1/2)
=30 degree or π/6
therefore phase constant α =30 degree or π/6