Harmonic Force Excitation Steady State Amplitude and Phase Proof

[@virtually_passed]

Minor correction: at 9:46 I didn't complete the bracket in the denominator. It should read (1-(w/wn)^2)^2

[@Legendsneverdie0917]

Thank you from Mongolian University of Science and Technology

[@icee562]

This is amazing!

[@jafnisaufi2571]

What's the difference between maximum steady state displacement and a steady state amplitude?

[@gameon8999]

Thnx a lot!

[@srihartono6824]

@virtually_passed , what if Fo*cos (wt), is it cos(wt) equal = e^iwt and take the real part directly ?

[@virtually_passed]

Cos(wt) = Re {e^jwt}

[@srihartono6824]

​@@virtually_passed however, the result is a little bit different from what you written ; the result is X cos (Wt - arctan(phi))

[@srihartono6824]

​@@virtually_passedis it right my answer?

[@bartolomeodiaz7847]

What program do you use to write?

[@virtually_passed]

Microsoft onenote 2016. Although you can use many others like krita or Photoshop

[@bartolomeodiaz7847]

@@virtually_passed Thanks

[@quantum.starhop]

I think you may have left a mistake in your final expression for X (written in orange). The second term in the radical in the denominator should be (1-(omega/omega_n)^2)^2.

[@virtually_passed]

You are correct! Thank you for pointing that out! I've pinned a comment so others can see it :)