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

Consumer behavior, explain big 5 ppersonality model, suggest thier target m...

explain big 5 ppersonality model, suggest thier target market and one marketing strategiy for each .

Geometria, un prisma retto ha per base un rombo avente una diagonale lunga ...

un prisma retto ha per base un rombo avente una diagonale lunga 24cm. sapendo che la superficie laterale e quella totale misurano rispettivamente 2800cm e3568cm ,calcola la misura

One-to-one correspondence in learning maths, How does your answer to this q...

How does your answer to this question compare with mine, which follows? i) To begin with, 1 laid the beads out in a row for counting, so that I wouldn't leave any out or count a

Math, i have problems with math and my teacher said that i am still progres...

i have problems with math and my teacher said that i am still progressing in math

probability that the card is a 8 or an ace, A standard deck of cards conta...

A standard deck of cards contains 52 cards. One card is selected at random. Determine a)    The probability that the card is a 8 or an Ace? b)    The probability that the card is

Quantitative Techniques, You are given that the total frequency is 900 and ...

You are given that the total frequency is 900 and the median 100.48. From the following frequency distribution, find the class frequencies that are missing. Intelligence No. of Int

Pre Calc, Find reference angle alpha and thea element of [0 degrees, 1800 d...

Find reference angle alpha and thea element of [0 degrees, 1800 degrees]

Fraction, maria has a slice of pizza that is 1/6 of the pizaa.Ben has a sli...

maria has a slice of pizza that is 1/6 of the pizaa.Ben has a slice of pizza that is 1/3 of the pizza, marias slice is bigger.draw pizzas to show how this is possible.

Write Your Message!

Captcha
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!

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