Lec 13 | 8.01 Physics I: Classical Mechanics, Fall 1999

Potential Energy - Energy Considerations to Derive Simple Harmonic Motion

View the complete course: http://ocw.mit.edu/8-01F99

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Education

Tags:

• mit
• opencourseware
• physics
• mechanics
• lewin
• vectors
• motion
• gravity
• trajectory
• centripetal
• scalar
• friction
• tension

[geoffreyefloyd]

How does he make the dotted lines with his chalk so easily?

[jamesmkwan]

The ball rotates. Therefore, it has rotational KE not just the linear KE.

[carultch]

He said friction is not the cause, but friction (rather TRACTION) actually is the cause. Static friction is why the ball rolls instead of skids.

[carultch]

@vadimgrin The Taylor series is obsolete for that purpose. Taylor series isn't computationally efficient enough to compete in the world of programming. It works great near the point about which it was generated (of course), but elsewhere, the margin of error varies with input. The replacement to get sine is the Chebyshev Polynomial.

The Taylor series is just kept around in introductory calculus to get the point across that such a way to render a curve from polynomials exists.

[smuggecko]

love the work here

[rolandhensle24]

This is a very "rotten" video. =p

[curtisbadger]

Accidentally came on this video...brain has now melted!!

[wyattorr820]

This video is a favorite on Barbados

[arsenelupin123]

@bharathsf

As far as I remember, he doesn't do it explicitly in this course. That is probably covered in the second mechanics course.

But I am referring to the part where write the energy of the harmonic oscillator and differentiates it to get the equation of motion, which is one of the main points of Lagrangian and Hamiltonian mechanics.

Maybe you can find another video on this. This all depends on your experience with these things.

[bharathsf]

@arsenelupin123 In which video does he explain this...i want to learn about this

[chengyman2009]

@geoffreyefloyd He makes the dotted like by putting the chalk directly on the chalkboard the friction between the board and chalk causes the chalk itself to skid thus creating the dotted line...I tried it ;)

[fatherjon908]

at 10:45 damn she looks cute haha