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pallavi pradeep bhardwaj Grade: 12
        

The differential equation of displacement of simple harmonic motions of given period 2pi/n` is

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear pallavi


 equation of SHM is


X=Asin(wt + Φ) .............1


where w= 2*pi /T


           = 2*pi /2pi/n   =n


so X = X=Asin(nt + Φ)


differentiate


 dx/dt  =An cos(nt + Φ)


again differentiate


 d2x/dt2 = -An2sin(nt + Φ)


             =n2 X   (from equation 1)


d2x/dt2 = -Xn2


 d2x/dt2 + Xn2 =0


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Badiuddin

7 years ago
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