Finding Amplitude of a Mass on a Spring | Simple Harmonic Motion

AI Thread Summary
The discussion revolves around calculating the amplitude of a mass oscillating on a spring in simple harmonic motion. A 12.5 kg mass on a spring with a spring constant of 1e^5 N/m is analyzed, with initial conditions provided. The participant initially found the frequency to be 89.44 1/s but struggled to determine the amplitude using the given information. After some calculations, they determined the amplitude to be 10.83 cm and the phase angle to be 26.895 degrees. However, when calculating the position at t=0.0149 seconds, their result of 6.993 cm was marked incorrect, prompting further inquiry into potential discrepancies.
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Simple Harmonic Motion- Spring problem

Homework Statement



A 12.5 kg mass is suspended on a 1e^5 N/m spring. The mass oscillates up and down from the equilibrium position
y(t)= Asin(wt+\phi)

Find the amplitude of the oscillating mass

Initial position- 4.9 cm
Initial velocity= +8.64 m/s
Time= 0

Homework Equations


No idea, see below


The Attempt at a Solution


Ok, I found the frequency, which is 89.44 1/s. But, I don't know how to figure out the amplitude of this thing with the information given. I've looked, and I can't find a formula to use. If someone could show me what formula I'm supposed to use, it would be greatly appreciated.
 
Last edited:
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Ok, I figured out the amplitude and the phi. But, here's the latest part of the question

Calculate teh position @ t=.0149 seconds

If A=10.83 cm
w= 89.44 (1/s)
Phi= 26.895 degrees

Plugging that into the equation, I get 6.993, yet the system says it's wrong. It also says to answer in cm, but I'm not seeing any discrepencies here. >.>
 

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