ONLY SOLVE F ***

icon
Related questions
Question

***NOTE*** PLEASE ONLY SOLVE F ***

A spring-mass-damper system has the following equilibrium equation:
d²y
dy
+3+ 40y = 0 , t>0
4
dt2
dt
where y(t) = displacement in meters, and t = time in seconds.
(3-a) Determine the general solution of y(t).
(3-b) Assuming y(0) = 0 and y'(0) = 1, determine the particular solution of y(t).
(3-c) Use Laplace transform to solve the given differential equation with the same initial conditions
in (2-b).
Transcribed Image Text:A spring-mass-damper system has the following equilibrium equation: d²y dy +3+ 40y = 0 , t>0 4 dt2 dt where y(t) = displacement in meters, and t = time in seconds. (3-a) Determine the general solution of y(t). (3-b) Assuming y(0) = 0 and y'(0) = 1, determine the particular solution of y(t). (3-c) Use Laplace transform to solve the given differential equation with the same initial conditions in (2-b).
(3-f) Assuming that the right hand side of the given equilibrium equation is changed from 0 to 5,
repeat parts (3-a,b,c,
Transcribed Image Text:(3-f) Assuming that the right hand side of the given equilibrium equation is changed from 0 to 5, repeat parts (3-a,b,c,
Expert Solution
steps

Step by step

Solved in 3 steps with 11 images

Blurred answer