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A 1 3 -kg mass is attached to a spring with stiffness 4 N/m. The damping...

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Physics

A 1 3 -kg mass is attached to a spring with stiffness 4 N/m. Thedamping constant for the system is 2 N-sec/m. The mass is displaced1 2m to the left and given an initial velocity of 2 m/s to theright.

(a) Determine the equation of the motion of mass and express itin the form A e αt sin(βt + φ) by finding the constants A, α, β andφ in radians.

(b) Find the time t when the mass crosses the equilibriumposition for the first time.

(c) Find the maximum displacement of the mass to the right.

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