The graph would change from sine to cosine, (remember, that sin(x+π)=cosx)CrazyNeutrino said:If phi had a value, what would the shm graph look like? Or how would it change from Acos(wT)?
It never started as cosine, it's allways either sine or cosine or somethin in between. It's like you move the cosine a bit to the right and if you move it by π/2 you get sine! SO all phi determines is the initial position!CrazyNeutrino said:so how could it change from sine if it doesn't start at sine?
The phase angle phi, denoted as Φ is a measure of the position of a harmonic oscillator at a given time. It represents the angular displacement of the oscillator from its equilibrium position.
In a harmonic oscillation function, the phase angle phi is directly related to the amplitude and frequency of the oscillation. A change in the phase angle leads to a change in the amplitude and frequency of the oscillation.
The phase angle phi is determined by the initial conditions of the harmonic oscillator, such as its initial position and velocity. It can also be calculated using the equation Φ = arctan(v0/x0), where v0 is the initial velocity and x0 is the initial position.
A positive phase angle phi indicates that the harmonic oscillator is moving in the same direction as its initial position and velocity, while a negative phase angle indicates that the oscillator is moving in the opposite direction. This also affects the direction of the displacement and velocity of the oscillator at any given time.
Yes, the phase angle phi can be changed by altering the initial conditions of the oscillator, such as its initial position and velocity. It can also be changed by applying external forces or changing the properties of the oscillator, such as its mass or spring constant.