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A 2kg mass is attached to a spring with stiffness k = 8π2N/m. The mass is...

A 2kg mass is attached to a spring with stiffness k = 8π2N/m. The mass is displaced 1m to the right of the equilibrium and given a velocity of 2π m/sec to the right. No damping and no external for are assumed.

(a) Find the period and the frequency of the motion (with appropriate units).

(b) Write the displacement y(t) of the mass in phase-amplitude form (every computation must be shown).

(c) What is the maximum displacement from the equilibrium that it will attain (every computation must be shown)?

(d) How long after release does the mass pass through the equilibrium (show the computation)?

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