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1 Consider an undamped mass-spring system with m = 1, and k = 26, under the...

1 Consider an undamped mass-spring system with m = 1, and k = 26, under the influence of an external force F(t) = 82 cos(ωt).

a) (4 points) For what value of ω will resonance occur?

b) (6 points) In the case of resonance, solve the initial-value problem with the system assumed initially at rest and briefly discuss what happens.

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