Q3The landing gear of an airplane has m = 2000 kg.It can be idealized as the spring-mass-dampersystem shown in the figure. If the runway surfaceis described y(t) = 0.2 cos 157t, determine thevalues of k and c that limit the amplitude ofvibration of the airplane (x) to 0.1 m.y(t)x(t)mRunway

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Answered: Q3 The landing gear of an airplane has…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Q2\ Amass is suspended from a spring system as shown in fig. Determine the natural frequency of the system. Given: m=30kg K1 = 1000 N/m K,= 2000 K3 =4000 N/m Q3\ the mass of a spring-mass-dashpot system is given an initial velocity 10W„ . where 10W,is the undamped natural frequency of the system. Find the equation of motion for the system, when F = 0.5. Q4\Find the natural frequency of the system shown in fig. Given: m=10 kg, K, = 2500 , K, = 1500 N/m K3= 2000 N/m- ttt A(m)
An electric motor with a mass of 20 kg is placed in the middle of a beam that is jointly connected on both sides. Rotor its unbalance is equivalent to a mass of 0.3 kg at a distance of 0.020 m from the axis of rotation. Due to the electric motor force acting on the beam t Sin F F  0 . The rotor is rotating at an angular speed of  = 40 rad / sec. Engine under the influence of force Find the displacement amplitude at the point where it is located (in the middle). The beam mass will be neglected. The beam has a modulus of elasticity E = 200000000000 N / m2 (200 GPa).
A mass m = 4 kg is attached to both a spring with spring constant k = 577 N/m and a dash-pot with damping constant c=4N-5/m. The mass is started in motion with initial position za = 1 m and initial velocity ty - 3 m/s. Determine the position function z(t) in meters. F(t) = e^(-5t)cos(12t)+1/6e^(-5t)sin(121) Note that, in this problem, the motion of the spring is underdamped, therefore the solution can bo written in the form z(t) - Ciecos(wit - a1). Determine C, wi aand p. C = (assume 0Saj < 2n) Graph the function z(t) together with the "amplitude envelope" curves a= -Cie and z= Cie. 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) = Cocos(wot – an). Determine Co, ab and ao. Co = (assume 0< ao < 2n) Finally, graph both function r(t) and u(t) in the same window to…
Identify the expression for the natural frequency of the system shown in the figure.
In vibration testing, an instrumented hammer is often used to hit a device to excite it and to measure the impact force simultaneously. If the device being tested is a single- degree-of-freedom system, determine the response at t = 0.55 s of the device considering: M = 1 kg, c = 5 kg/s, k = 100 N/m, and F(t) = 0.35 (t) +0.28 (t - 0.5) N Assume that the initial conditions are zero. 0.08 mm 0.98 mm 1.77 mm 3.29 mm 2.08 mm Test Structure. FO C www. Impact Hammer ▼x(1) D
Please solve this problem by showing the manual calculation and choose the correct answer(SUBJECT: mechanical vibrations)
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A 40 kg fan has a rotation unbalance of magnitude of 0.01 kg.m. The fan is mounted on a beam which is specially treated to have a viscous damping. By the variation of the speed of the fan, the amplitude of the vibration varies too. What is the fan's steady state amplitude when it operates at 1000 r/min? Givens: E = 200 GPa, I = 1.3 x10-6 m, L = 1.2 m, damping ratio = 0.06 Select one: O 2 mm 13.6 mm O 3.65 mm O9 mm TOSHIBA
Derive the expression for motion and determine the natural frequency of the system shown in the figure below. Neglect the mass of the rod.
The platform, supported by a pin at B and a spring at C, is in equilibriumin the position shown. When the viscous damper at A is disconnected, thefrequency of the system for small amplitudes is 2.22 Hz. Determine the damping coefficient c that would critically damp the system.
Determine the block's amplitude of motion for the above condition (i.e., at f = 0.190 Hz)
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