Imagine, if you will, a baby jumper seat that is suspended from a porch beam. To provide…

Imagine, if you will, a baby jumper seat that is suspended from a porch beam. To provide additional stimulation, a music box, mass my, is suspended from the beam with a spring. The baby seat, mass m2, is suspended below the music box by another spring. The purpose of this problem is to explore what happens to the springs as the baby begins to jump in the seat. Two masses, m; and m2 are connected to two springs A and B as shown in the accompanying sketch X;=0 mi X2 = 0 Assume negligible mass for the two springs. The spring constants k, and k describe springs A and B, respectively. Let xi(t) and xa(t) represent the vertical displacements of the masses from their equilibrium positions. When t = 0, these are at equilibrium. When the system is in motion, spring B is subject to both an elongation and a compression, hence its net elongation is X2-X1. Therefore, it follows Hooke’s Law that springs A and B exert forces – kaxi and ko(x2 – x1). respectively, on mi. If no external force is impressed on the system and if no damping force is present, then the net force exerted on my is – kyx1 + kz(x2-x.). By Newton’s Second Law we can write -kax+ k(x2 – x). (DE 1) midt Similarly, the net force exerted on my is due solely to the net elongation of spring B; that is ka (x2 – xy).Thus it follows that m2 de – Ky(x2 – x1). (DE 2) Given the following assumptions:k = 6, K2 = 4, m1 = 1, m2 = 1 and that the masses start from their equilibrium positions with opposite unit velocities, determine the solution to the system of two differential equations. Hint: Start with the La Place transform of each equation Submission Instructions: Writing must follow proper rules of grammar and mechanics of writing in APA format. Appropriate referencing and citation is expected. • Show all work and provide a detailed explanation. An answer without any explanation will not receive credit. . If you have questions, ask your instructor.

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more
error: Content is protected !!