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

Applications of percentage, rajan bought an armchair for rs.2200 and sold i...

rajan bought an armchair for rs.2200 and sold it for rs.2420.find his profit per cent.

Types of series - telescoping series, Telescoping Series  It's now tim...

Telescoping Series  It's now time to look at the telescoping series.  In this section we are going to look at a series that is termed a telescoping series.  The name in this c

Precalculus help, tsunami equation A sin (b * t) + k what is b supposed t...

tsunami equation A sin (b * t) + k what is b supposed to be if t is time a is amplitude and k is average water level (not exact value of b just what is it)

Continuous compounding, If r per annum is the rate at which the princ...

If r per annum is the rate at which the principal A is compounded annually, then at the end of k years, the money due is          Q = A (1 + r) k Suppose

The central limit theorem, The Central Limit Theorem  The theories was ...

The Central Limit Theorem  The theories was introduced by De Moivre and according to it; if we choose a large number of simple random samples, says from any population and find

Basics of vectors - calculus, Vectors - The Basics Let us start this s...

Vectors - The Basics Let us start this section off with a quick discussion on what is the use of vector.  Vectors are utilized to present quantities that have both a magnitude

GEOMETRIC PROGRESSION, THE FIRST AND THIRD TERM OF A G.P ARE 8 AND 18 RESPE...

THE FIRST AND THIRD TERM OF A G.P ARE 8 AND 18 RESPECTIVELY AND THE COMMON RATIO IS POSITIVE.FIND THE COMMON RATIO

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