The displacement from equilibrium of an oscillating weight s

The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t)- cos 8t 4 where y is the displacement (in feet) and t is the time (in seconds). Find the displacement when t = 0, t =-, and t =-. (Round your answers to four decimal places.) 2 ft ft 2 0 ft --0 ft --0 ft ft ft ft Equilibrium Maximum negative Maximum positive displacement Simple Harmonic Motion displacement

Solution

given y(t)=(1/4)cos8t

t =0

y(0)=(1/4)cos0

y(0)=1/4

y(0)=0.2500

t =1/4

y(1/4)=(1/4)cos(8*1/4)

y(1/4)=0.2498

t =1/2

y(1/2)=(1/4)cos(8*1/2)

y(1/2)=0.2494