In order to find the phase constant φ of an oscillator, you need to know?
which answer?
-the spring constant, the mass, and the initial position
-the spring constant, the mass, and the initial velocity
-the initial position, initial velocity, and the angular frequency
-the spring constant, the mass, and the period
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Need to know what you are talking about...j/k
x=Asin(omega * t+ phi) where x is the position, A is the maximum amplitude of the oscillation , omega=2pi*f and f is the frequency of the oscillation
f=1/T here T =2pi(k/m)^.5
but here phi is the constant of phase which fix the value of x when t=0
if t=0 in x=Asin(omega * t+ phi) that means
x=Asin (0+phi) then sin (phi)=x/A
where x = initial position when t=0. and A is the maximum amplitude
three examples....
if at t=0 the amplitude is max that means sin(phi)=1 then phi=pi/2
if at t=0 the amplitude is 0 that means that sin (phi)=0 then phi=0
if at t=0 the amplitude is A/2 then sin (phi) = 1/2=.5, then phi=30 degrees or pi/6
sooo the right answer is the first one but we don't need k and m because at t=0 the term in which they are involved disappear. One quantity does not appear in the suggested answer ,it is the amplitude of oscillation A but the initial position could be defined in fraction of the amplitude max
I'm pretty sure of my solution.
good luck P.A.