The equation of motion and initial conditions governing the vertical position of a vertical spring-mass system are given below. Transform this equation into a system of 1st order ODEs and solve the system using MATLAB's ode45 function. Provide a plot of y vs. t from 0 to 2 seconds. mj = −k(y – y) – mg y(0) = 1 m j(0) =4m/s k = 100 N/m m = 2 kg g = 9.81 m/s² Yo = 1m

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter1: Fundamentals Of C++ Programming
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Problem 2PP: (Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a...
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3.
The equation of motion and initial conditions governing the vertical position of a vertical
spring-mass system are given below. Transform this equation into a system of 1st order ODEs and
solve the system using MATLAB's ode45 function. Provide a plot of y vs. t from 0 to 2 seconds.
mj = −k(y – yo) — mg
y(0) = 1 m
y (0) = 4 m/s
k = 100 N/m
m = 2 kg
g = 9.81 m/s²
Yo = 1 m
Transcribed Image Text:3. The equation of motion and initial conditions governing the vertical position of a vertical spring-mass system are given below. Transform this equation into a system of 1st order ODEs and solve the system using MATLAB's ode45 function. Provide a plot of y vs. t from 0 to 2 seconds. mj = −k(y – yo) — mg y(0) = 1 m y (0) = 4 m/s k = 100 N/m m = 2 kg g = 9.81 m/s² Yo = 1 m
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ISBN:
9781133187844
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Course Technology Ptr