# MAT 275 Laboratory 6 Forced Equations and Resonance

Question # 40272 | 7 months ago |
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$30 |
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In this laboratory we take a deeper look at second-order nonhomogeneous equations. We will concentrate

on equations with a periodic harmonic forcing term. This will lead to a study of the phenomenon known

as resonance. The equation we consider has the form

d2y

dt2 + c

dy

dt

+ !2

0y = cos !t: (L6.1)

This equation models the movement of a mass-spring system similar to the one described in Laboratory

5. The forcing term on the right-hand side of (L6.1) models a vibration, with amplitude 1 and frequency

! (in radians per second = 1

2 rotation per second = 60

2 rotations per minute, or RPM) of the plate

holding the mass-spring system. All physical constants are assumed to be po

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