How Do You Calculate Simple Harmonic Motion Parameters for a Spring System?

AI Thread Summary
To calculate parameters for a spring system in simple harmonic motion, one must determine the amplitude, velocity, period, spring constant, and total energy. The user is struggling to understand the concepts and has attempted various methods without success. Key information includes a 0.5 kg mass, an amplitude that needs to be determined, and recorded data at t = 2.6 seconds showing a position of -0.15 m and a force of +1.2 N. The user seeks a clear understanding of the calculations rather than just the answers. Engaging with the community for guidance on these calculations is encouraged.
jamesdubya
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If you couldn't tell I am new to the board so any tips would be appreciated :)
edit once again, I am sorry for not showing work but i really don't understand it, when i do the work i just kinda wing it and throw stuff together

Homework Statement



As shown a 0.5 kg mass is attached to a spring. The mass is
initially pulled to the right to amplitude xm and released from
rest. At t = 2.6 seconds the following info is recorded. x = -
0.15 m , and the force on the mass is = +1. 2 N.

c) determine the amplitude “xm ”
d) Determine the velocity at t = 2. 6 seconds and the direction of this velocity vector.
e) Determine the period “P” of the mass.
f) Find the spring constant K
g) Determine the total energy of the mass at t = 10 seconds

Homework Equations


This is where I am having trouble,

The Attempt at a Solution


I have tried numerous times and checked numerous websites to no avail. I am simply just trying to understand this concept and it is way beyond me. I would just like to know how to do it rather then just getting an answer please. I have tried a bunch of different ways and haven't even came close to the right answer. I really apreciate your help
 
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figured it out :)
 
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