25.1 Force is the Derivative of Potential

MIT 8.01 Classical Mechanics, Fall 2016
Instructor: Dr. Peter Dourmashkin

License: Creative Commons BY-NC-SA

[shutupimlearning]

Absolutely brilliant, I was looking for this thorough definition of the force=gradient of potential. All the others describe it by cancelling the differentials with multiplication by both sides :( . I feel more comfortable with a physical definition if its described with rigorous mathematics!

[hikanradiel]

I didn't know that force is the derivation of potential my whole high school and freshman year. Thank you Mr

[bmwforlife]

Does anyone notice that his mirrored writing is flawless?

[veronicanoordzee]

After 0:38: Where is that minus-sign (in front of the integral) coming from (in Physics)??? When I pull a string it's potential energy is going up, not down.

[MLML]

Clear and straight explanation. Thank you.

[Leander_]

Very cool, thanks, but how are we seeing what he's writing the correct way around? Is the lecturer writing backwards? Is it some fancy image processing?

[ptyptypty]

if you take the Force equation for a Spring, F = -kx, and solve for k, you get K = -F/x then if you substitute that into the PE equation, PE = 1/2 K x^2.. you get .. PE = (-1/2 ) F x... which is a LINEAR equation... but the PE is always POSITIVE... the graph is shaped like the letter "V" with the vertex at the Origin. The Slope is -(1/2) F ... GO FIGURE....

[ganeshadhikary]

What does the second derivative of potential signify?

[mrigankasandilya]

the screeching sound is ridiculous.. it attacks my ears

[satyampandeyII]

In India the people who have undergone 1-2months of 11th grade knows this.{because of the chapter- Atomic structure of atom}