SOLVED:The undamped mass-spring system in Fig. 10 is subject to an external force F sin(αt) . The equation of motion is m ẍ k x=F sin(αt) (α≠√((k)/(m))) where x is the displacement of mass m from its equilibrium level and k is the spring stiffness. By assuming the trial function X=C sin(αt) and the initial conditions, when t=0, both x=0 and ẋ=0, show that x=(F)/(ω(k-m α^2))[ωsin(αt)-αsin(ωt)] where ω=√((k)/(m))
SOLVED:The undamped mass-spring system in Fig. 10 is subjec…
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