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NewtonsHead
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Homework Statement
A particle undergoes simple harmonic motion. It has velocity v1 when the displacement is x1 and velocity v2 when the displacement is x2. Find the angular frequency ω and amplitude A in terms of the given quantities.
Homework Equations
x = A sin (ωt + ∅ )
v = A ω cos ( ωt + ∅ )
The Attempt at a Solution
I tried starting x1 and v1 at t=0 s. This yields
x = A sin ( ∅ )
v = A ω cos ( ∅ )
The equations for position 2 included the ωt. I have four equations: two position and two velocity and four unknowns: A, ω, ∅, and t. I just need A and ω. Is this the right direction?