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(Solved): (a) A \( 12-\mathrm{Ib} \) mass attaches to a spring and stretches it 6 inches. After it comes to r ...
(a) A \( 12-\mathrm{Ib} \) mass attaches to a spring and stretches it 6 inches. After it comes to rest, it is stretched an additional 4 inches above equilibrium and released from rest (so, no initial velocity). Find the equation of motion. (b) Graph the equation of motion (you may attach a screenshot from a graphing calculator or Desmos, if you like). (c) Find the period, amplitude, and frequency. (d) What's the velocity when it crosses the equilibrium position?