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

Sqares, Recently I had an insight regarding the difference between squares ...

Recently I had an insight regarding the difference between squares of sequential whole numbers and the sum of those two whole numbers. I quickly realized the following: x + (x+1)

GEOMETRY, DIFFERENCE BETWEEN RIGHT ANGLE AND SCALENE

DIFFERENCE BETWEEN RIGHT ANGLE AND SCALENE

Differance between expanded notation vs. standard notation , Differance bet...

Differance between Expanded Notation vs. Standard Notation ? A number written in expanded notation is broken down into parts just like it is in a place-value table. Example

Describe about absolute values, Describe about Absolute Values ? When a...

Describe about Absolute Values ? When an integer is written with a vertical line on each side of the integer, it is called the absolute value of that integer. For example,

Find a quadratic polynomial having a and ß, If α,β are the zeros of a Quadr...

If α,β are the zeros of a Quadratic polynomial such that α + β = 24, α - β = 8. Find a Quadratic polynomial having α and β as its zeros.

What is negative exponents explain, What is Negative Exponents explain? ...

What is Negative Exponents explain? Here's a problem which results in a negative exponent: 3 4 /3 7 = 3 (4-7) = 3 -3 A negative exponent means the same thing as making

Derivatives of trig functions, Derivatives of Trig Functions In this s...

Derivatives of Trig Functions In this section we will see derivatives of functions other than polynomials or roots of polynomials. We'll begin this process off through taking

Example of set representation, Can anybody suggest me any example of Set Re...

Can anybody suggest me any example of Set Representation?

Example of optimization , A piece of pipe is carried down a hallway i.e 10 ...

A piece of pipe is carried down a hallway i.e 10 feet wide.  At the ending of the hallway the there is a right-angled turn & the hallway narrows down to 8 feet wide. What is the lo

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