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Wm_Davies
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Homework Statement
I am having a hard time solving this problem and this is my last chance to solve it before it is due and I have to do this for a test tomorrow.
A simple harmonic oscillator consists of a block of mass 3.90 kg attached to a spring of spring constant 330 N/m. When t = 0.570 s, the position and velocity of the block are x = 0.123 m and v = 3.510 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
Homework Equations
[tex]\omega=\sqrt{\frac{k}{m}}[/tex]
[tex]x=x_{m}cos(\omega t + \phi)[/tex]
[tex]v=-\omega x_{m}cos(\omega t + \phi)[/tex]
The Attempt at a Solution
Okay so I tried to solve for the phase constant by dividing the velocity function by the position function.
This gave me the result of [tex]\phi=tan^{-1}(\frac{v}{x \omega})[/tex]
I plugged in [tex]\phi[/tex] to both the position functions and my answers are wrong. So I am not sure as to what I need to do or why.
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