The relationship between SHM (Simple Harmonic Motion) frequency and harmonic oscillator frequency is that they are directly proportional to each other. This means that as one frequency increases, the other also increases in a linear manner.
The frequency of SHM is related to the mass and spring constant of the harmonic oscillator through the equation: f = 1/2π √(k/m), where f is the frequency, k is the spring constant, and m is the mass. This means that as the mass or spring constant increases, the frequency decreases.
Yes, the frequency of SHM and harmonic oscillator frequency can be the same if the mass and spring constant are equal. In this case, the two frequencies will be equal to each other.
Increasing the amplitude of SHM and harmonic oscillator does not affect the frequency. The frequency is only determined by the mass and spring constant, and not the amplitude.
There is no limit to the frequency of SHM and harmonic oscillator. As long as there is a mass and a spring, the oscillations can occur at any frequency. However, at very high frequencies, the system may not behave like a simple harmonic oscillator anymore.