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

Trigonometry, If tanA+sinA=m and m2-n2 = 4vmn, show that tanA-sinA=n

If tanA+sinA=m and m2-n2 = 4vmn, show that tanA-sinA=n

Right-handed limit, Right-handed limit We say provided we can m...

Right-handed limit We say provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x>a without in fact letting x be a.

Spherical coordinates - three dimensional space, Spherical Coordinates - Th...

Spherical Coordinates - Three Dimensional Space In this part we will introduce spherical coordinates. Spherical coordinates which can take a little getting employed to. It's

Math, #questionQn 1- An analysis of monthly wages of workers of two organi...

#questionQn 1- An analysis of monthly wages of workers of two organizations Alia LLC and Asila LLC yielded the following results. Alia LLC Asila LLC Average monthly wages 60

How many inches long is the bedroom, Raul's bedroom is 4 yards long. How ma...

Raul's bedroom is 4 yards long. How many inches long is the bedroom? There are 36 inches within a yard; 4 × 36 = 144 inches. There are 144 inches in 4 yards.

Help, I really need help with 30 60 90 right triangles and my last tutor di...

I really need help with 30 60 90 right triangles and my last tutor did not make sense to me so can you please help

MATH, I don''t understand so what is 3 (8-x);24-15

I don''t understand so what is 3 (8-x);24-15

Example of circle graphs, Q. Example of circle graphs? Ans. The Un...

Q. Example of circle graphs? Ans. The United States Government pays obligations annually, called "outlays". Medicare contributes to the health and well being of aged an

Calculate the area of remaining piece of cardboard, A piece of cardboard in...

A piece of cardboard in the shape of a trapezium ABCD & AB || DE, ∠ BCD = 900, quarter circle BFEC is removed. Given AB = BC = 3.5 cm, DE = 2 cm. Calculate the area of remaining p

Solve following 4e1+3 x - 9e5-2 x = 0 logarithms, Solve following 4e 1+3 x...

Solve following 4e 1+3 x - 9e 5-2 x = 0 . Solution Here the first step is to get one exponential on every side & then we'll divide both sides by one of them (that doesn'

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