Answer:
hello your question has some missing values attached below is the complete question with the missing values
answer :
a) 0.083 secs
b) 0.33 secs
c) 3e^-4/3
Step-by-step explanation:
Given that
g = 32 ft/s^2 , spring constant ( k ) = 2 Ib/ft
initial displacement = 1 ft above equilibrium
mass = weight / g = 4/32 = 1/8
damping force = instanteous velocity hence β = 1
a)Calculate the time at which the mass passes through the equilibrium position.
time mass passes through equilibrium = 1/12 seconds = 0.083
b) Calculate the time at which the mass attains its extreme displacement
time when mass attains extreme displacement = 1/3 seconds = 0.33 secs
c) What is the position of the mass at this instant
position = 3e^-4/3
attached below is the detailed solution to the given problem