A simplified model of the main landing gear system of a small airplane is shown in Fig.

Question:

A simplified model of the main landing gear system of a small airplane is shown in Fig. 6.27 with $m_{1}=100 \mathrm{~kg}, m_{2}=5000 \mathrm{~kg}, k_{1}=10^{4} \mathrm{~N} / \mathrm{m}$, and $k_{2}=10^{6} \mathrm{~N} / \mathrm{m}$.

a. Find the equations of motion of the system.

b. Find the natural frequencies and the mode shapes of the system.

image text in transcribed

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

See More Books

Question Posted: May 03, 2024 02:24 AM

See More Questions

Transaction Analysis Goal Systems, a business consulting firm, engaged in the following transactions: a. Issued common stock for $50,000 cash. b. Borrowed $10,000 from a bank. c. Purchased equipment...
An airplane standing on a runway Is shown In Fig. The airplane has a mass m = 20,000 kg and a mass moment of inertia J0 = 50 x 106 kg-m2. If the values of stiffness and damping constant are =10 kN/m...
s sf Define the terms opaque type and concrete type. [5 marks] The following is a shortened version of one of the definition modules described in the Modula-2 user manual: Provide a suitable...
This chapter describes the mechanisms in place to regulate accounting and financial reporting in five countries. Required: Compare and contrast these mechanisms in the United Kingdom and China.
Use the Pratt Computer Sales data in SE12-9 to compute the following; enter all amounts in thousands. Sales data from SE12-9 a. Collections from customers b. Payments for inventory A1 Pratt Computer...
A snack-food company produces potato chips on three different production lines. Line 1 produces 20% of the total output, Line 2 produces 30%, and Line 3 produces the balance. Each line is sampled to...
1. How are enterprise and internal service funds similar? How are they different?
(a) The distance to the North Star, Polaris, is approximately 6.44 x 1018 m. If Polaris were to burn out today, in what year would we see it disappear? (b) How long does it take for sunlight to reach...
Andrew purchased Maple Manufacturing Company on March 17 of the current year for a lump-sum price of $3.5 million. The value of the assets was as follows: Carrying Fair Market Amount Value Inventory...
For a simplified analysis of the vibration of an airplane in the vertical direction, a threedegree-of-freedom model, as shown in Fig. 6.26, can be used. The three masses indicate the masses of the...
Consider the two-degree-of-freedom system shown in Fig. 6.25 with $m_{1}=m_{2}=1$ and $k_{1}=k_{2}=4$. The masses $m_{1}$ and $m_{2}$ move on a rough surface for which the equivalent viscous...
Bernard Madoff was convicted in 2009 of running a Ponzi scheme, the biggest in U.S. history. A Ponzi scheme is essentially the process of taking money from new investors on a regular basis and using...
2. See US Debt Clock and answer the following: (Hint: Take a screenshot of the Debt Clock) (2) A. What is the current US deficit and the total federal debt? (1) B What is the net interest...
Q. Is GDP per capita a good measure of a society's welfare? Why or why not? (150 Words)
On May 3, the Happy Company wrote off the $4,300 uncollectible account of its customer, A. Johnson. The entry or entries Happy makes to record the write off of the account on May 3 is: Allowance for...
Who is responsible for the financial statements and maintaining effective internal control over financial reporting? Where did you find this in the annual report? What accounting rules are required...
8. Chad owned an office building that was destroyed in a tornado. The adjusted basis of the building at the time was $890,000. After the deductible, Chad received an insurance check for $850,000. He...
Harriman Entertainment produced and sold 100,000 video games for $10 each last year. Demand is strong for the companys video games, and the company believes that volume will increase by 25 percent if...
Gopher, Inc. developing its upcoming budgeted Costs of Quality (COQ) with the following information: Expense Item Budget Raw Materials Inspection $ 15,000 EPA Fine 200,000 Design Engineering 15,000...
Comfort Golf Products is considering whether to upgrade its equipment Managers are considering two options. Equipment manufactured by Stenback Inc. costs $1,000,000 and will last five years and have...
Weaver Corporation had the following stock issued and outstanding at January 1, Year 1: 71,000 shares of $10 par common stock. 8,500 shares of $60 par, 6 percent, noncumulative preferred stock. On...
Read the following case and then answer questions On 1 January 2016 a company purchased a machine at a cost of $3,000. Its useful life is estimated to be 10 years and then it has a residual value of...

A simplified model of the main landing gear system of a small airplane is shown in Fig.

Question:

Airplane mass Stiffness of landing gear 000000 Tire mass m Stiffness of tire 8k 12 k 000000 mi k Runway FIGURE 6.27 Modeling of landing gear of airplane. (b)

Step by Step Answer:

Mechanical Vibrations

Students also viewed these Engineering questions