utl cricket 5' .t'F?=12 (i? '5' 20% [:1' lt; ess @o E 2019E5't3 team A mass-spring oscillator has a mass of 2 kg, a spring constant of 34 N m

utl cricket "5‘ .t‘F?=12 (i? ‘5’ 20% [:1' < ess @o E2019E5fi‘tfl3 team A mass-spring oscillator has a mass of 2 kg, aspring constant of 34 N m and a friction constantof 4 N‘s m . It is stretched to a displacement of10 m and released from rest. a. Assuming there are no external forces, modelthe spring’s displacement as a function of time.What is the asymptotic behavior of theoscillator? b. Now assume that at I seconds, there is anexternal force (in Newtons) given by Fexra) =100cos(r). Model the spring’s displacement as afunction of time. What is the asymptotic behaviorof the oscillator? c. Repeat part b, assuming there is no friction