Forced Harmonic Motion

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8 жыл бұрын

MIT RES.18-009 Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler, Fall 2015
View the complete course: ocw.mit.edu/RES-18-009F15
Instructor: Gilbert Strang
When the forcing is a sinusoidal input, like a cosine, one particular solution has the same form. But if the forcing frequency equals the natural frequency there is resonance.
License: Creative Commons BY-NC-SA
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Пікірлер: 13

@marktoffoli9186 2 жыл бұрын

Thank you professor Strang, you really have made learning engaging and insightful, I thoroughly enjoy watching your videos

7 жыл бұрын

Thank you MIT for sharing the knowledge to the world!

@goytomt 6 жыл бұрын

Love that "Hee'e" sound @6:51. Thank you sir!

@lexrogan2207 3 жыл бұрын

Thank you Professor Strang!

@irslanullahashraf5158 Жыл бұрын

thank you, professor ... you always add beauty into mathematics and make it super interesting

@T4l0nITA 5 жыл бұрын

So c1 and c2 of yn are the same of the oscillating function of the previous video, or do I need to solve for y(0) and y'(0) the whole yc solution instead of yn ?

@knowledgewith90shoomans97 3 ай бұрын

conside an at rest linear system described by : y"+25y=2 sint+5cos5t the response of the system will be : decaying oscillation in time, oscillatory in nature, growing oscialltion inb time, none

@The_Professor123 6 жыл бұрын

dam thats interesting

@bigdave6952 Жыл бұрын

i dont understand why did he end up calling a null solution a impulse response at the very end, it my must have been a slip up him. It cant possibly be true.

@atomskyjahid1533 8 жыл бұрын

Physical interpretations are what I'm here for. ^_^

@maximus7043 5 жыл бұрын

why impulse response is 1/mWn not just 1/m?

@leonardosoto5669 5 жыл бұрын

watch the previus lecture,in the null solution the coefficient of sin(wnt) is (dy/dt)(0)/wn ,in this case (dy/dt)(0) is 1/m but you stil have to divide it by wn

@freeeagle6074 2 жыл бұрын

Since d(sin(wnt)) brings wn out, we need wn to exist at the denominator to cancel wn so the dy/dt is 1/m.