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seidi.yamauti
Group Title
An undamped oscillator of mass m and natural frequency Wo moves under the action of an external force F=Fo sin(wt). Starting from the equilibrium position with initial velocity zero.
Find the deslocament x(t).
 2 years ago
 2 years ago
seidi.yamauti Group Title
An undamped oscillator of mass m and natural frequency Wo moves under the action of an external force F=Fo sin(wt). Starting from the equilibrium position with initial velocity zero. Find the deslocament x(t).
 2 years ago
 2 years ago

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damrinder Group TitleBest ResponseYou've already chosen the best response.0
is it displacement????
 2 years ago

seidi.yamauti Group TitleBest ResponseYou've already chosen the best response.0
Yes, displacement. Sorry.
 2 years ago

henpen Group TitleBest ResponseYou've already chosen the best response.1
dw:1345989153738:dw
 2 years ago

henpen Group TitleBest ResponseYou've already chosen the best response.1
\[F_{total}=ma=m\frac{d^2x}{dt^2}=kx+F_0\sin(wt)\]
 2 years ago

henpen Group TitleBest ResponseYou've already chosen the best response.1
\[\frac{d^2x}{dt^2}kx/m=F_0\sin(wt)/m\]
 2 years ago

henpen Group TitleBest ResponseYou've already chosen the best response.1
From SHM,\[k=w_0^2m\] rewrite sin(wt) as cos(wt90), x will tend to take the form\[Acos(wt)\]. You just need to find A. You could either use normal DE or assume x is a complex number and turn F_0sinwt into F_0e^iwt
 2 years ago

henpen Group TitleBest ResponseYou've already chosen the best response.1
To use the normal method:\[Aw^2\sin(wt)Amw_0\sin(wt)/m=F_0\sin(wt)\] Rearrange to find A. I assumed that x=Asin(wt) for convenience
 2 years ago

seidi.yamauti Group TitleBest ResponseYou've already chosen the best response.0
That helped me a lot. Thank you!
 2 years ago
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