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

Problem, La proporción de empleados de una empresa que usan su auto para ir...

La proporción de empleados de una empresa que usan su auto para ir al trabajo es 5:16. Si hay un total de 800 empleados, diga la cantidad de autos que se espera que haya estacionad

Decimals, how to multiply 8654.36*59

how to multiply 8654.36*59

Find out the volume of the solid method of disks , Find out the volume of t...

Find out the volume of the solid obtained by rotating the region bounded by y = x 2 - 4x + 5 , x = 1 , x = 4 , and the x-axis about the x-axis. Solution : The firstly thing t

Evaluate indefinite integrals, Evaluate following indefinite integrals. ...

Evaluate following indefinite integrals.  (a) ∫ 5t 3 -10t -6 + 4 dt  (b) ∫ dy Solution  (a) ∫ 5t 3 -10t -6 + 4 dt There's not whole lot to do here other than u

Find the original average of boys and girls in the class, When 6 boys were ...

When 6 boys were admitted & 6 girls left the percentage of boys increased from 60% to 75%. Find the original no. of boys and girls in the class. Ans: Let the no. of Boys be x

Fractions, A car travels 283 1/km in 4 2/3 hours .How far does it go in 1 h...

A car travels 283 1/km in 4 2/3 hours .How far does it go in 1 hour?

Calculate the probability, Calculate the introduction to Probability? P...

Calculate the introduction to Probability? Probability refers to the chance that an event will happen. Probability is presented as the ratio of the number of ways an event can

Oscar sold 2 glasses of milk for each 5 sodas he sold, Oscar sold 2 glasses...

Oscar sold 2 glasses of milk for each 5 sodas he sold. If he sold 10 glasses of milk, how many sodas did he sell? Set up a proportion along with milk/soda = 2/5 = 10x. Cross mu

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