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

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SUMMARY

This discussion focuses on calculating parameters of simple harmonic motion for a spring system involving a 0.5 kg mass. Key parameters to determine include amplitude (xm), velocity at t = 2.6 seconds, period (P), spring constant (K), and total energy at t = 10 seconds. The recorded data includes a displacement of x = -0.15 m and a force of +1.2 N at t = 2.6 seconds. The user expresses difficulty in understanding the underlying concepts and seeks clarity on the calculations rather than just answers.

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  • Understanding of Newton's Second Law of Motion
  • Familiarity with Hooke's Law for springs
  • Knowledge of simple harmonic motion equations
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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
 
Last edited:
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figured it out :)
 

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