infitesimal work

[sacred fulcrum]

$\int_{W_{a}^W_{b}} dW =\int_{a^b} \vec(F) \cdot \vec(dr)$ why is $W_{b}-W_{a}$ the total work in moving from point a to point b

[solid karma]

fosur
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[dry cosmos]

you mean

oops lmfao

that?

[sacred fulcrum]

Yeah

Does W_b mean the work done from some point to position b ?

[solid karma]

ren

[dry cosmos]

mhm

[sacred fulcrum]

Ah I see

But that ‘some point ‘ is arbitrary?

[dry cosmos]

yeah

[sacred fulcrum]

Hmm it makes sense but it’s a bit handwavy

For me

Actually nvm

[dry cosmos]

!done

[narrow timber]

If you are done with this channel, please mark your problem as solved by typing .close

[dry cosmos]

agreed lol

[sacred fulcrum]

I just realised I can interpret the lhs as a graph of a function where function is always 1

And limits are W_a and W_b ?

[dry cosmos]

yeah, exactly

[sacred fulcrum]

Ok thanks

.close