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emilli
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Homework Statement
A mass/spring system is set in motion. Find the phase constant with the given information.
Given:
k = 8 N/m (spring constant)
m = 0.1 kg (mass attached to string)
x0 = -0.12 m (position at t = 0)
v0 = 0.9 (velocity at t = 0)
Homework Equations
x(t) = xmcos(ωt + Φ)
v(t) = -ωxmsin(ωt + Φ)
k = mω2
The Attempt at a Solution
I first solved for ω using the given spring constant and mass: ω = √(k / m) = √(8N/m / 0.1kg) = 8.94 rad/s
At t = 0,
x(0) = xmcos(Φ)
v(0) = -ωxmsin(Φ)
Unfortunately, this was where I became stumped. I don't know how to find the amplitude(xm) which is the only thing I needed to solve for the phase constant. Any hints to what I should do?