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

Earth geometry, calculate the shortest distance between A and B 40degrees w...

calculate the shortest distance between A and B 40degrees west and 50 degrees east respectively laying along 57 degrees north

Find the maximum and minimum brightness values, Variable stars are ones who...

Variable stars are ones whose brightness varies periodically. One of the most visible is R Leonis; its brightness is modelled by the function where t is measured in days.

Solution to an equation or inequality, First, a solution to an equation or ...

First, a solution to an equation or inequality is any number that, while plugged into the equation/inequality, will satisfy the equation/inequality. Thus, just what do we mean by

Calculate combinations and permutations, a. Cassie has seven skirts, five b...

a. Cassie has seven skirts, five blouses, and ten pairs of shoes. How many possible outfits can she wear? b. Cassie decides that four of her skirts should not be worn to school.

Geometry, Determine the coordinates of the point equidistant from Salt Lake...

Determine the coordinates of the point equidistant from Salt Lake City and Helena

Solving algebraic word problems, Solving Algebraic Word Problems: What...

Solving Algebraic Word Problems: What are the capacities of two water storage tanks in a nuclear facility if one holds 9 gallons less than three times another, and their whole

Formula to calculate the surface area of basketball, Keith wants to know th...

Keith wants to know the surface area of a basketball. Which formula will he use? The surface area of a sphere is four times π times the radius squared.

Precalculuc, evaluate the expression and write the result in the form a + b...

evaluate the expression and write the result in the form a + bi. I^37

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