1. The problem statement, all variables and given/known data The displacement of a mass oscillating on a spring is given by x(t) = xmcos(ωt + ). If the initial displacement is zero and the initial velocity is in the negative x direction, then the phase constant is: 2. Relevant equations 3. The attempt at a solution How do I start? The book just tells me that the phase constant depends on displacement and velocity when t = 0, but doesn't say how.
Sketch a cosine curve. What's its initial value? Where on the curve would match the initial condition of the spring and mass? What's (angular) the offset from zero?
Not only that, but where it's going through zero and going negative, just like the mass' displacement.