mass of 12 slugs is hanging at rest on a frictionless spring whose constant is k = 1/3 . Beginning at time t = 0, an external force of F(t) = 20cos(ωt) is applied to the system. (a) What is the angular frequency of the forcing function that is in resonance with the system? (b) Find the equation of motion of the mass with resonance.

mass of 12 slugs is hanging at rest on a frictionless spring whose constant is k = 1/3 . Beginning at time t = 0, an external force of F(t) = 20cos(ωt) is applied to the system. (a) What is the angular frequency of the forcing function that is in resonance with the system? (b) Find the equation of motion of the mass with resonance.

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Question

A mass of 12 slugs is hanging at rest on a frictionless spring whose constant is k = 1/3 . Beginning at time t = 0, an external force of F(t) = 20cos(ωt) is applied to the system.

(a) What is the angular frequency of the forcing function that is in resonance with the
system?
(b) Find the equation of motion of the mass with resonance.

Expert Solution