Solving Mechanics Problem: Velocity X and Position X Function of Time t

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Discussion Overview

The discussion revolves around a mechanics problem involving the determination of velocity and position as functions of time for a particle under a specified force function. The scope includes introductory mechanics concepts, specifically the application of Newton's second law and integration techniques.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant describes a mechanics problem involving a particle starting from rest and subject to a force function, seeking assistance in finding velocity and position as functions of time.
  • Another participant suggests applying Newton's second law, stating that the force equals mass times acceleration.
  • A participant acknowledges the need to integrate the problem after applying Newton's second law to find the required functions.
  • There is a reminder to post similar problems in a designated subforum for introductory physics.

Areas of Agreement / Disagreement

Participants generally agree on the application of Newton's second law and the necessity of integration, but the discussion remains unresolved regarding the specific steps to solve the problem.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about the constants involved and the integration process, which are not fully detailed.

tralblaz
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I am just starting out in Mechanics at my University. (Mechanincs is also known as statics and dynamics). I am having trouble working (what should be a simple) problem.

Here is the problem:

Find the velocity X(with 1 dot above the x) and the position X as a functin of the time t for a particle of mass m, which starts from rest at x=0 and t=0, subject to the following force functions:

Fx=f0+ct
where F0 and c are positive constants



Any help is greatly appreciated. :eek: :confused:
 
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Think Newton's second law;

F = ma = m\ddot{x}
 
Thanks, I wass thinking of Newton's 2nd, but you also have to integrate problem, correct?

Thanks for any help and Newton's confirmation :)
 
tralblaz said:
Thanks, I wass thinking of Newton's 2nd, but you also have to integrate problem, correct?

Thanks for any help and Newton's confirmation :)
Yes, you need to substitute the given expression in the equation for Newton's Second and integrate it to get the required answers.

Please post similar problems under the Introductory Physics subforum next time.
 

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