The discussion focuses on calculating the frequency of sinusoidal vibrations in simple harmonic motion using known values of acceleration amplitude and vibration amplitude. The equation of motion is defined as F = ma = m\ddot{x} = -kx, leading to the general solution x = A_0\sin(\omega t + \phi), where \omega^2 = k/m. Participants emphasize that by determining the maximum acceleration and using the relationship between acceleration and frequency, one can derive the frequency without directly knowing the period of oscillation.
PREREQUISITESStudents and professionals in physics, mechanical engineering, and anyone interested in the dynamics of oscillatory systems will benefit from this discussion.
The equation of motion is:Bugsy23 said:I need to calculate the frequency of sinusoidal vibrations in simple harmonic motion. The only known values that I have are the acceleration amplitude and the vibration amplitude. Is there a way of calculating the frequency of vibration without knowing the period of the oscillations?