1.

The maximum acceleration of a simple harmonic oscillator is a0, while the maximum velocity is v0, what is the displacement amplitude?

Answer»

Here, v0 =  ωA, a0 = ω2A = (ωA)ω = v0ω

or v0ω = a0

ω = \(\frac{a_0}{v_0}\)

Thus  A = \(\frac{v_0}{ω}=\frac{v_0}{\frac{a_0}{v_0}}=\frac{v^2_0}{a_0}\)



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