Force and Work of a Spring (Integrals)

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. Viewers should always verify the information provided in this video by consulting other reliable sources.
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The Spring is one foot! - not one inch. Sorry about that folks!

BriTheMathGuy
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I think he meant 1 foot not 1 inch? Because he said 6 inches was half

nickfeness
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Excuse me: if infinitesimal movement is dx in right direction, force is - k x because force is opposing to the movement and therefore force points on the left. So W = - 20/2 * x^2. In fact work is negative because it's resistent, isn't it?

giack
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You should've just re-made this, it is soooo confusing 😂 The concept makes sense but the inch/foot thing just keeps throwing me off, especially since you keep going with the error for the duration of the video.

EmpyreanLightASMR
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Wait does that diagram mean you compressed the 1 inch spring by 6 inches???

MegaClaymore
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Why do we have to subtract the limits of integration by the range of stretching or compression when we're given the length of the spring?

lucasargandona
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where did you get the 10 from at 1:42 ?

hx