Question about zero input frequency response

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Discussion Overview

The discussion revolves around the concept of zero input frequency response in the context of a differential equation. Participants explore how to set the frequency variable for a program intended to solve this response, particularly in relation to a sinusoidal input.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that to achieve a zero input frequency response, the frequency variable should be set to 1/(4t) to make the input sin(pi/2) equal to zero.
  • Another participant questions why the frequency wouldn't simply be set to zero instead.
  • There is a correction regarding the value of sin(pi/2), which is noted to be not zero, leading to a reflection on the participant's understanding of the unit circle.
  • A participant expresses frustration over their misunderstanding and the time spent on the programming task.
  • Another participant offers reassurance, emphasizing that learning from mistakes is valuable.

Areas of Agreement / Disagreement

Participants exhibit disagreement regarding the appropriate value for the frequency variable, with some advocating for setting it to zero while others propose a different approach. The discussion remains unresolved as no consensus is reached.

Contextual Notes

There are indications of misunderstandings related to trigonometric values and their implications for the programming task, but these are not fully resolved within the discussion.

royzizzle
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Zero input means input equals zero

the input is to some differential equation D2x = Dx + x + Input

the input = sin(2pi * f * t)

so say I want to make a program that solves for the zero input frequency response. (Matlab actually)

what would I need to set the variable for frequency to be? would it be 1/(4t) ? to make the input always sin(pi/2) = 0? or do I make the frequency equal to zero.

I've been asking my workmates and getting mixed answers :[

I'm doing this for my research professor btw
 
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royzizzle said:
what would I need to set the variable for frequency to be? would it be 1/(4t) ? to make the input always sin(pi/2) = 0? or do I make the frequency equal to zero.

I've been asking my workmates and getting mixed answers :[
Why wouldn't you just set the frequency to zero?
and btw. What is sin(pi/2)?! (hint: not zero).
 
zhermes said:
why wouldn't you just set the frequency to zero?
And btw. What is sin(pi/2)?! (hint: Not zero).

yes you are right!

Ive cemented my status as a retard

:[

I knew I should have studied my unit circle harder

GOD IM SO STUPID IVE BEEN WRITING A PROGRAM THAT sets the value for f depending on the time vector specified

so much time wasted
 
Last edited:
lol, don't worry about it man; we learn best from our failures.
Acknowledging being stupid (at times) is a very important form of wisdom (Socratic wisdom).
 

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