Mass-Spring-Damper -- Underdamped System, Mathematics

Mass-Spring-Damper -- Underdamped System, Mathematics

Assignment Help:

us consider the following mass-spring-damper system:

md2xdt2+cdxdt+kx=0

with m=5
kg as the mass of the body, k=1.6N/m
as the spring constant and two different values of c. Let the initial displacement be x(0)=1
m and initial velocity be x'(0)=-0.25
m/s.

We will consider the following two cases depending on the value of c
:

Underdamped response: Solve the above ode with c=2
Overdamped response: Solve the above ode with c=10
For both the cases, solve the ODEs using ode45.
Use tSpan=[0:0.1:20] and plot the results to observe the difference in the response for the two cases.
Please report the following results.

For the underdamped system (c=2
), please report the displacement at time t=1

Related Discussions:- Mass-Spring-Damper -- Underdamped System

Photogrammetry, basic linear algebra concepts and calculations in photogram...

basic linear algebra concepts and calculations in photogrammetry

Solve the differential equation, Solve the subsequent differential equation...

Solve the subsequent differential equation and find out the interval of validity for the solution. Let's start things off along with a fairly simple illustration so we can notic

Problem solver, a bathroom measure 250 cm by 175 cm calculate the side of t...

a bathroom measure 250 cm by 175 cm calculate the side of the largest square tile that can tile the floor

Grade Average, Homework is worth 10% of my grade, quizzes are worth 30%, an...

Homework is worth 10% of my grade, quizzes are worth 30%, and tests are worth 40%. I have 15 grades in the homework section, they''re all 100''s. I have 2 grades in the quiz sectio

Shares and dividends, what will the introduction be ???

what will the introduction be ???

Binomial theorem, 1/(1-z)(1-z)(1-z)(1-z)

1/(1-z)(1-z)(1-z)(1-z)

Logarithm, I need help with one logarithm problem

I need help with one logarithm problem

Consumer behaviour.., consumer behaviour in my feild of studies accounting ...

consumer behaviour in my feild of studies accounting ..

Determining Proportionality, Assume Jim had executed 15 "Splits" before his...

Assume Jim had executed 15 "Splits" before his last split of 20 seconds. If his eventual time in the road race is 4:05, what was the average time for one of his earlier splits?

Siquence aned series, if 4,a and 16 are in the geometric sequence. Find the...

if 4,a and 16 are in the geometric sequence. Find the value

Write Your Message!

Name

Email id

Message

Verfication Code

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd