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The displacement of an object oscillating on a spring is given by: x(t)=A cos⁡(ωt+φ). At t = 0, the block starts at x = A/3 and moves to the right. The phase constant, φ, is

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  1. x(t)=A cos⁡(ωt+φ)
    at t = 0, x = A/3 so
    A/3 = A cos⁡(φ)
    cos⁡(φ) = 1/3
    φ = 1.23 radians or -1.23 radians
    make sure the velocity is to the right (
    dx/dt = - Aω sin⁡(ωt+φ)
    at t = 0
    dx/dt = - Aω sin⁡(φ)
    better use the negative one if it is going right :)

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