/sci/ - Science & Math » Thread #11585114

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Anonymous Mon 20 Apr 18:01:46 2020 No.11585114 View Reply Original Report

Quoted By: >>11586659

The simple Hooke's law is F = -kx
Why would you take a magnitude of this to integrate?

Anonymous

Anonymous Mon 20 Apr 2020 18:23:59 No.11585189 Report

Quoted By: >>11585212 >>11585226

For springs you factor the -k out and integrate as springs are always applying a negative force. This is because springs always resist external force to return to their natural length.

Anonymous

Anonymous Mon 20 Apr 2020 18:29:43 No.11585209 Report

Quoted By: >>11585226

$\int F\ dx=-k\int x\ dx=-k(x_f^2-x_i^2)/2$

Anonymous

Anonymous Mon 20 Apr 2020 18:30:15 No.11585212 Report

Quoted By:

>>11585189
>>11585189

But then the negative signs would cancel
This is derived to preserve the negative sign

$\int -F dx = \int -(kx) dx = \int (kx) dx$

Anonymous

Anonymous Mon 20 Apr 2020 18:33:02 No.11585226 Report

Quoted By:

>>11585189
Wait, are you saying they just threw that in so they could keep the -k term? What a fucking troll of a book you can just pull it out at the end like right here >>11585209

Anonymous

Anonymous Tue 21 Apr 2020 02:42:33 No.11586659 Report

Quoted By:

>>11585114
absolute bullshit

Anonymous

Anonymous Tue 21 Apr 2020 02:42:55 No.11586660 Report

Quoted By:

TOOKER!!! Solve this!!!

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