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February 1, 2015

February 1, 2015

Posted by **Allison** on Tuesday, December 21, 2010 at 3:29pm.

a) what is the equation of a sinusoidal function that describes the motion of the building in terms of time?

b) if a damper is added to this building, it will reduce the sway (not the period) by 70%. what is the equation of the new function that describes the motion of the building in terms of time?

- Grade 11 math - HELP! -
**MathMate**, Wednesday, December 22, 2010 at 10:04pmI assume that the building goes directly from one extreme to the other in 12-2=10 seconds. Therefore the half-period is 10 seconds, or the period T=20 s.

The neutral position is at (2+10)/2=6 seconds, when the displacement is zero.

Thus we have

Xo=30 cm = 0.3m

X(t)=Xo sin((t-6)*2π/T), or

X(t)=0.3sin((t-6)π/10)

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