(a) In terms of A 1 , what isthe amplitude for the same driving frequency and th
ID: 1675883 • Letter: #
Question
(a) In terms of A1, what isthe amplitude for the same driving frequency and the same drivingforce amplitude Fmax, if the damping constantis 2b1?A = _____A1
(b) In terms of A1, what is the amplitude forthe same driving frequency and the same driving force amplitudeFmax, if the damping constant isb1/5?
A = _____A1
k/m A sinusoidally varying driving force is applied to a dampedharmonic oscillator of force constant k and massm. If the damping constant has a valueb1, the amplitude is A1when the driving angular frequency equals k/m . (a) In terms of A1, what isthe amplitude for the same driving frequency and the same drivingforce amplitude Fmax, if the damping constantis 2b1? A = _____A1 (b) In terms of A1, what is the amplitude forthe same driving frequency and the same driving force amplitudeFmax, if the damping constant isb1/5? A = _____A1
Explanation / Answer
For this problem, its best to apply the formula for the amplitudeof a driven oscillator: A = Fmax/ ((k -md2)2+b2d2) It will be observed that d = (k/m)corresponds to resonance, which simplifies the equation above to A= Fmax/(bd) You should just be able to plug the given values in and solve for Aand you should get: a) A1/3 b) 2A1
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