The maximum speed and acceleration of a simple harmonic oscillator are 0.92 m/s and 1.54 m/s2 . Find the oscillation amplitude.
for simple harmonic oscillator, displacement is given by
x = A*cos(wt)
where A is amplitude (maximum displacement)
velocity v = dx/dt
v = - Awsin(wt)
so maximum velocity Vmax = Aw
acceleration a = dv/dt = - Aw^2sin(wt)
so maximum acceleration a(max) = Aw^2
now A = (Vmax)^2/a(max)
amplitude A = (0.92)^2/1.54 = 0.549 m
The maximum speed and acceleration of a simple harmonic oscillator are 0.92 m/s and 1.54 m/s2...
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