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

Input - output analysis - linear algebra and matrices, What is input - outp...

What is input - output analysis?

Tent originally sold for $2 what is the percent of discount, A tent origina...

A tent originally sold for $260 and has been marked down to $208. What is the percent of discount? Find out the number of dollars off. $260 - $208 = $52. Further, determine wha

Triangle, a triangle is 180

a triangle is 180

Regression and correlation analysis on income and ex, regression and correl...

regression and correlation analysis on income and expenditure

Least common multiple, what is the lcm of 4, 6 ,18?

what is the lcm of 4, 6 ,18?

Differential equation - variation of parameters, Variation of Parameters ...

Variation of Parameters Notice there the differential equation, y′′ + q (t) y′ + r (t) y = g (t) Suppose that y 1 (t) and y 2 (t) are a fundamental set of solutions for

Variation and proportion, i am not getting what miss has taught us please w...

i am not getting what miss has taught us please will you will help me in my studies

Construct a venn diagram, In a survey of 85 people this is found that 31 wa...

In a survey of 85 people this is found that 31 want to drink milk 43 like coffee and 39 wish tea. As well 13 want both milk and tea, 15 like milk & coffee, 20 like tea and coffee

Maths Assignment, Hi, I really need an idea and a layout on where i should ...

Hi, I really need an idea and a layout on where i should take my Maths assignment. This is for Year 12, and i want to focus on Maths in Music. It has to be at least 6 to 12 pages l

Trigonometry, if theta is a positive acute angle and 2sin theta +15cos squ...

if theta is a positive acute angle and 2sin theta +15cos square theta=7 then find the value of cot theta

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