Question: 1. Verify Eqs. 1 through 5. 2. Select appropriate units for t, x, m, b, and k. (use SI units.) 3. Determine the units

for wn and C. Our goal in this experiment is to determine

the parame- ters of a second order mechanical system from measure- ments

of the system free response. Figure 1 shows a lumped parameter model

of the system. x(t) eee K M B Figure 1: mass-spring-damper dx

dx m- +b. +kx = 0 dt2 dt dx dx +25wn +wx

1. Verify Eqs. 1 through 5. 2. Select appropriate units for t, x, m, b, and k. (use SI units.) 3. Determine the units for wn and C. Our goal in this experiment is to determine the parame- ters of a second order mechanical system from measure- ments of the system free response. Figure 1 shows a lumped parameter model of the system. x(t) eee K M B Figure 1: mass-spring-damper dx dx m- +b. +kx = 0 dt2 dt dx dx +25wn +wx = 0 (2) dt2 dt x(t) = = 20 1-2 e -Sunt sin (wat + 4) (3) 1-$2 = tan and_wd=wn1 5 (4) Ta = 2T - Wd = 2T Wn1-52 (5) 8 = ln = SwnTa = x2 2 1-52 (6)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mechanical Engineering Questions!

EXPENSES CONTROL Question One Claudius operates a bill payment and cambio facility in Black River. He earns commission at a rate of 5% on his transactions. For the year 2021 his transactions totaled...

Arndt, Incorporated reported the following for 2024 and 2025 ($ in millions): Revenues 2024 $ 946 2025 $ 1,038 Expenses 802 858 Pretax accounting income (income statement) Taxable income (tax return)...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

Inscribe a detailed paper on RFID Solutions and Standards in the Transportation Industry.

A company reports the following beginning inventory and purchases for the month of January. On January 26, the company sells 360 units. What is the cost of the 155 units that remain in ending...

20. An electronics company can use its resources to produce either digital cameras or cellular phones. It costs $87 to produce each camera and $58 to produce each phone. In the current market it will...

75. This problem will present another proof of the ballot problem of Example 3.27. (a) Argue that Pn,m = 1 P{A and B are tied at some point} (b) Explain why

Assume the same facts as in Problem 2-55. In problem 2-55 On June 3 of the current year, Eric, Florence, and George form Wildcat Corporation and transfer the following items: Item Transferred Eric...

Algoe expects to invest $1,700 annually for 5 years to yield an accumulated value of $9,776.19 on the date of the last investment. For this to occur, what rate of interest must Algoe earn? (PV of $1,...

What is the importance of using clear and concise language to communicate an analysis? What are the consequences of poorly communicating conclusions? What can result from being too concise in an...

The Plastics Division of Minock Manufacturing currently earns $2.86 million and has divisional assets of $26 million. The division manager is considering the acquisition of a new asset that will add...

Lauderdale Corporation is organized in three geographical divisions (regions) with managers responsible for revenues, costs, and assets in their respective regions. The firm is highly decentralized...

1. Look for a written sample of a Deed of Sale, notarized or otherwise. This may be a hard copy, a Word file, JPEG file or a PDF file. 2. From the above document which you have obtained, you should...

sa Problema 1 A boy riding a bicycle can be modeled as a mass-spring-shock absorber system. The weight of the child is 80N, the constant of elasticity of the spring is 5000 N/m, and the damping...

Exercise 3.10 3.10 Use the Normal table. Use Table A to find the proportion of observations from a standard Normal distribution that satisfies each of the following statements. In each case, sketch a...

1. Concepts used in cash flow estimation Capital budgeting analysis not only requires the evaluation of cash flows but also requires the understanding of the origin of those cash flows. Based on your...

United Business Forms capital structure is as follows: Debt ............................................ 35% Preferred stock ........................... 15 Common equity .......................... 50...

3. One day, Sabrinas front door started squeaking at the hinges. She was out of the spray lubricant that she would normally use for this purpose, so she went to her kitchen and got a bottle of...

4. Which of the following is an example of deductive reasoning? a. Because Jared received a traffic ticket, he must have broken a traffic law. b. Because your psychology professor is friendly,...

1. Babies begin when they begin to make sounds. a. cooing; consonant b. babbling; vowel c. cooing; vowel and consonant d. babbling; vowel and consonant