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

Example of business applications, An apartment complex contains 250 apartme...

An apartment complex contains 250 apartments to rent. If they rent x apartments then their monthly profit is specified by, in dollars,, P ( x

Math.., how many sixs are in 60

how many sixs are in 60

Help, can you help me learn faster in school

can you help me learn faster in school

Applications of markov chains in business, please help me in my assignment,...

please help me in my assignment, explain Applications of Markov Chains in Business.

Fractions, 3 2/3 - 1/6

3 2/3 - 1/6

Give an example of divisibility, Give an example of Divisibility? If yo...

Give an example of Divisibility? If you can divide one number by another without getting a remainder, we say that the first number is divisible by the second. For instance, the

Consecutive positive odd integers 74 what is integer value, The sum of the ...

The sum of the squares of two consecutive positive odd integers is 74. What is the value of the smaller integer? Let x = the lesser odd integer and let x + 2 = the greater odd

Other ways to aid learning maths, OTHER WAYS TO AID LEARNING : Here we sh...

OTHER WAYS TO AID LEARNING : Here we shall pay particular attention to the need for repetition, learning from other children, and utilising errors for learning.

Compositions of relations, Let Consider R A Χ B, S B Χ C be two relation...

Let Consider R A Χ B, S B Χ C be two relations. Then compositions of the relations S and R given by SoR A Χ C and is explained by (a, c) €(S o R) iff € b € B like (a, b) € R,

Permutations and Combinations, How many 4 digit number lass than 6000 can b...

How many 4 digit number lass than 6000 can be made with the digits 7,6,4 and 2 if digits are not repeated?

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