Calculating Maximum Net Force in Simple Harmonic Motion

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Homework Help Overview

The problem involves calculating the maximum net force on a mass undergoing simple harmonic motion, described by the position function x(t) = (0.16 m)cos(πt/16). Participants are exploring the relationship between displacement, acceleration, and force in the context of this motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to differentiate the position function to find acceleration and subsequently the maximum force. Questions arise about the relationship between displacement, velocity, and acceleration, as well as the application of calculus concepts.

Discussion Status

The discussion is ongoing, with participants attempting to clarify their understanding of differentiation and its relevance to the problem. Some have provided guidance on how to derive acceleration from the position function, while others express uncertainty about their calculus knowledge.

Contextual Notes

Some participants indicate a lack of familiarity with calculus, which may affect their ability to engage fully with the problem. The original poster mentions having only taken Algebra and Trigonometry, raising questions about the appropriateness of the homework assignment.

  • #31
Dark visitor, do you see the similarity between this problem and the engine problem. There we were looking for max velocity. So when you differentiate position with respect to t, the w pops out in front (chain rule) and sin becomes cos. D/dx again and you get -w*w*sin.

Next time you do this, please have all your notes out and for good heavens, my man, don't try to bite off so much in a weekend.:eek: Physics requires slow assimilation and lots of practice!
 
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  • #32
Only one more thing, sorry.

Is the amplitude (A) .160 m? And is \omega equal to\pi/16?
 
  • #33
Dark Visitor said:
Only one more thing, sorry.

Is the amplitude (A) .160 m? And is \omega equal to\pi/16?

yes.
 
  • #34
Okay, thanks. Here is my work:

amax = (\pi/16)2(.160 m)
= .00617 m/s2

Fmax = (.64 kg)(.00617 m/s2)
= .003949

or 3.9 * 10-3

Thanks a lot. I really appreciate all of your help.
 

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