Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. this problem is an example of critically damped ha

This problem is an example of critically damped harmonic motion. A mass m=6kg is attached...

60.1K

Verified Solution

Question

Advance Math

This problem is an example of critically damped harmonic motion. A mass m=6kg is attached to both a spring with spring constant k=96N/m and a dash-pot with damping constant c=48N?s/m . The ball is started in motion with initial position x0=5m and initial velocity v0=?24m/s . Determine the position function x(t) in meters. x(t)= Graph the function x(t) . Now assume the mass is set in motion with the same initial position and velocity, but with the dashpot disconnected ( so c=0 ). Solve the resulting differential equation to find the position function u(t). In this case the position function u(t) can be written as u(t)=C0cos(?0t??0). Determine C0, ?0 and ?0. C0= ?0= ?0= (assume 0??0<2? ) Finally, graph both function x(t) and u(t) in the same window to illustrate the effect of damping.

Answer & Explanation Solved by verified expert
4.3 Ratings (586 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

A copy machine acquired with a cost of $1,900 has an estimated useful life of 4...

Accounting
Q

f n n NIS if n is even 3n 1 if n is odd 2

Basic Math
Q

Larry and Peggy are making decisions about their bank accounts. Larry wants to deposit $350...

Basic Math
Q

Consider the function y 3 x 2 7 as you complete parts a through c...

Basic Math
Q

Solve the inequality, and write the solution set in interval notation if possible. Write numbers...

Basic Math
Q

By further differentiation, identify lines with minimum y = 12 x - 2x, y =...

Algebra
Q

The following data is available for Marigold Corporation at December 31, 2018: Common stock, par...

Accounting
Q

Questions - 128 Complete the following long-answer questions, and please show...

Accounting
Q

can u answer questions a b and c in step 3 with 10-12 sentence each...

Accounting
Q

An Advantage of defined benefit pension plan is: A. for an older participant with...

Accounting
Q

The Tax form box that is typically used to calculate Health Funding Premiums or taxes...

Accounting
Q

The following information pertains to the inventory of Parvin Company: Jan. 1 Beginning inventory Apr....

Accounting