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Simple Harmonic Motion exam question

For part b) i), I think the omega squared term is the force due to friction, the term on the right hand side of the equation is the driving force and b/m x' is the damping force? It's been a while since we did this and I can't really remember.
I've uploaded my answer to part b) ii) as it was easier than rewriting on here, have I done it correctly or have I done it completely wrong?

Thanks for the help!

Sorry for the pictures being the wrong way, it won't let me rotate them!
(edited 10 years ago)
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Original post by Benniboi1
For part b) i), I think the omega squared term is the force due to friction, the term on the right hand side of the equation is the driving force and b/m x' is the damping force? It's been a while since we did this and I can't really remember.
I've uploaded my answer to part b) ii) as it was easier than rewriting on here, have I done it correctly or have I done it completely wrong?

Thanks for the help!

Sorry for the pictures being the wrong way, it won't let me rotate them!


mx¨m \ddot{x} is the D'Alembert force. bb is related to any form of viscous damping. ω\omega is the natural frequency. The RHS is the forcing function.

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