The displacement from equilibrium of an oscillating weight suspended by a spring

Question

The displacement from equilibrium of an oscillating weight suspended by a spring and subject to the damping effect of friction is given byy(t) =

(Round your answers to four decimal places.)

21. • 1,1574 points | Previous Answers LarPCalcg 4.2.050. My Notes . The displacement from equilibrium of an oscillating welght suspended by a spring and subject to the damping effect of friction is given by y(t) = * cos 6t, where y is the displace feet) and t is the time (in seconds). (a) Complete the table. (Round your answers to four decimal places.) Ly.25 3.3969 % |0.1514 1.024 (b) Use the table feature of a graphing utility to approximate the time when the welght reaches equllibrium. sec (c) What appears to happen to the displacement as t increases? • The displacement oscillates but decreases in amplitude. O The displacement stops oscillating. O The displacement oscillates and increases in amplitude. Need Help? Read It Talk to a Tutor Submit Answer Save Progress Submit Assignment Save Assignment Progress H O Type here to search o D O. e O 9 G N I C O ENG

Explanation / Answer

t = 0 then y =0.25

t = 1/4 then y = 0.1946

t = 1/2 then y = 0.1514

t =3/4 then y = 0.1177

t =1 then y = 0.0915

when weight reaches equilibrium then time = 0.25 sec

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