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Physics
Classical Physics
Mechanics
What is the physical significance of A and B in mass spring SHM solutions?
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[QUOTE="Glenn G, post: 6074726, member: 600909"] Hi community, I've been looking at solutions for mass spring shm (undamped for now) ie that x = Acoswt and x = Bcoswt work as solutions for dx[SUP]2[/SUP]/dt[SUP]2[/SUP] = -(k/m)x and that the general solution is the sum of these that with a trig identity can be written as x = C Cos(wt - φ) where C is essentially the amplitude (and is given by √(A[SUP]2[/SUP] + B[SUP]2[/SUP]) My question is the physical significance of A and B in the two separate solutions above (before this youtube video) I've always gone for the solutions as either the Acoswt or Asinwt (with A being the amplitude) depending on where the mass is in its oscillating cycle at time t=0, i.e. would have gone with the coswt one if x = +A at t=0. If I let A and B both be A then my factor C (amplitude) comes out as √(2)A where I want it to represent the Amplitude A. Would really appreciate help. regards, Glenn. [/QUOTE]
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Classical Physics
Mechanics
What is the physical significance of A and B in mass spring SHM solutions?
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