3 A mass of 0.3 kg is suspended from a spring of stiffness 200 Nm ....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
3 A mass of 0.3 kg is suspended from a spring of stiffness 200 Nm . The mass is displaced by 10 mm from its equilibrium position and released, as shown in Figure 1. For the resulting vibration, calculate: (a) (i) the frequency of vibration; (ii) the maximum velocity of the mass during the vibration; (iii) the maximum acceleration of the mass during the vibration; (iv) the mass required to produce double the maximum velocity calculated in (ii) using the same spring and initial deflection. (b) Plot a graph of acceleration, a against displacement, x for a domain of x = -10 mm to x = +10 mm 0.3 kg 0.3 kg 0.3 kg 200 Nm Figure 1 10 mm Equilibrium position 10 mm 3 A mass of 0.3 kg is suspended from a spring of stiffness 200 Nm . The mass is displaced by 10 mm from its equilibrium position and released, as shown in Figure 1. For the resulting vibration, calculate: (a) (i) the frequency of vibration; (ii) the maximum velocity of the mass during the vibration; (iii) the maximum acceleration of the mass during the vibration; (iv) the mass required to produce double the maximum velocity calculated in (ii) using the same spring and initial deflection. (b) Plot a graph of acceleration, a against displacement, x for a domain of x = -10 mm to x = +10 mm 0.3 kg 0.3 kg 0.3 kg 200 Nm Figure 1 10 mm Equilibrium position 10 mm
Expert Answer:
Answer rating: 100% (QA)
To calculate the parameters of the vibration and plot the graph we can use the equations of simple harmonic motion a i The frequency of vibration can ... View the full answer
Related Book For
Posted Date:
Students also viewed these mechanical engineering questions
-
find some integer values that make the equation below true. fraction numerator x squared plus 3 x minus 4 over denominator x squared plus 7 x plus 12 end fraction divided by fraction numerator x...
-
Coronado Industries provides financial consulting and sells its own line of financial planners and budgeting products. The company has collected the following data for the next year's budgeted...
-
Read the Discussion Participation and Scoring Guide to learn how the instructor will evaluate your discussion participation throughout the course. After reading chapter 6, compare and contrast the...
-
The following list shows the top six pharmaceutical companies in the United States and their sales figures ($ millions) for a recent year. Use this information to construct a pie chart and a bar...
-
Show that a nonempty finite set S R contains its supremum. [Use Mathematical Induction and the preceding exercise.]
-
In a sourceless medium in which J = 0 and = 0, assume a rectangular coordinate system in which E and H are functions only of z and t. The medium has permittivity and permeability . (a) If E = E x...
-
Evaluate an investment using all four methods (Learning Objectives 2, 4)} Zippi manufactures motorized scooters in Oakland, California. The company is considering an expansion. The plan calls for a...
-
If we know that a firm has a net profit margin of 4.5%, total asset turnover of 0.72, and a financial leverage multiplier of 1.43, what is its ROE? What is the advantage to using the DuPont system to...
-
find the average rate of change of the function f(x)- 1/2x+1 between x=1 and x=5
-
Modern Kitchenware Co. specializes in the manufacturing and distribution of items used in the kitchen. Among its many products are microwave ovens, toasters, electric can openers, etc. Its home base...
-
An options strategy that would have a profit graph that would reflect profits if thereis little movement in the underlying stock but small losses if there were big movementsin either direction is...
-
Suppose that f(x) = their implied domains. 2x and g(x)=4-x. Determine both (fog)(x) and (gof)(x) along with (THE DOMAIN SHOULD BE WRITTEN IN INTERVAL NOTATION.)
-
What are some examples of specific activity related to Educational Diagnostician job functions under Competency 002 (Evaluation, Planning, Selection, and Administration)
-
3. [Business Financing] Identify a successful business venture that has been in business for at least three years. The instructor can assign a specific business company or allow students to identify...
-
illustration of how you would address employee turnover issues from an HR perspective. In your illustration, do the following: Describe the company you identified and the issues it experienced with...
-
Your broker called to recommend buying a specific stock because its P / E ratio is lower than the P / E ratio of the sector. Do you agree with this assertion? Provide reasons supporting your...
-
Week 6, Presenter 1 What factors will contribute to your own problem recognition following your graduation from university? How could each of these factors affect your lifestyle and cause changes in...
-
Nate prepares slides for his microscope. In 1 day he prepared 12 different slides. Which equation best represents y, the total number of slides Nate prepares in x days if he continues at this rate? A...
-
Define y as a symbolic variable and create the two symbolic expressions S1 = x(x2 + 6x + 12) + 8 and S2 = (x - 3)2 + l0x - 5 Use symbolic operations to determine the simplest form of each of...
-
Evaluate the following expressions without using MATLAB. Check the answers with MATLAB. (a) 12 4 < 5 3 (b) y = 8/4 > 6 3 42 > -3 (c) y = -3 < (8 - 12) + 2 (5 > 1 8/6 -4) (d) (5 + 0) 6 == 3 + 3 ...
-
Define two variables: alpha = /6, and beta= 3/8. Using these variables, show that the following trigonometric identity is correct by calculating the values of the left and right sides of the...
-
Perform vertical analysis (Learning Objective 2) Alpha Graphics has requested that you perform a vertical analysis of its balance sheet. ALPHA GRAPHICS, INC. Total current assets Balance Sheet...
-
Prepare common-size income statement (Learning Objective 3) Prepare a comparative common-size income statement for Enchanted Designs using the 2007 and 2006 data of Exercise 13-13 and rounding...
-
Calculate ratios (Learning Objective 4) The financial statements of Natures Health Foods include the following items: Requirements Compute the following ratios for the current year: a. Current ratio...
Study smarter with the SolutionInn App