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A 1.50-kg object attached to a spring moves without friction (b = 0) and is driven by an external force given by the expressiPlease answer ALL parts neatly and correctly. Thanks!

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Answer #1

given that

mass m = 1.5 kg

spring constant K = 30 N/m

a) resonance frequency wo = sqrt(k/m) = sqrt(30/1.5) = 4.47 s^-1

b) from the given force F = 2.2sin(2pi*t)

here w = 2pi

w = 2*3.14 = 6.28 s^-1

c) amplitude A = F0/m/(w^2-w0^2)

A = (2.2/1.5)/(6.28^2-4.47^2)

A = 1.47/(39.44-19.98) = 0.0755 m

A = 7.55 cm

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