Let XYZ = 728 Consider an airplane wing with a fuel pod mounted at its tip as illustrated in Figure 1.The pod has a mass of 10 kg when it is empty and 1000 kg when it is full. Calculatethe change in the natural frequency of vibration of the wing, modeled as in Figure 1,as the airplane uses up the fuel in the wing pod. The estimated physical parameters ofthe beam are I = X. Y x 10-5 m², E = Y.Zx 10° N/m², and 1= 2 mVertical wing vibrationE,I1Figure 1: Airplane wing.(a) Formulate the equation of motion of the airplane wing.(b) Express the total solution of the airplane wing.(c) Compute the natural frequency of the airplane wing.mx(1)x(0)(d) Identify the type of vibration suppression and the transducer for measuring thevibration effect.*Important notes: the value of XYZ is obtained from the last 3 digits of your matricnumber.

a. Formulate the equation of motion of the airplane wing: We can model the wing as a cantilever beam…

Consider an airplane wing with a fuel pod mounted at its tip as illustrated in Figure 1. The pod has a mass of 10 kg when it is empty and 1000 kg when it is full. Calculate the change in the natural frequency of vibration of the wing, modeled as in Figure 1, as the airplane uses up the fuel in the wing pod. The estimated physical parameters of the beam are I = X.Y x 105 m², E = Y.Z x 10° N/m², and 1= 2 m Vertical wing vibration E,I Figure 1: Airplane wing. (a) Formulate the equation of motion of the airplane wing. (b) Express the total solution of the airplane wing. (c) Compute the natural frequency of the airplane wing. E x(1) x(0) (d) Identify the type of vibration suppression and the transducer for measuring the vibration effect.

Consider an airplane wing with a fuel pod mounted at its tip as illustrated in Figure 1. The pod has a mass of 10 kg when it is empty and 1000 kg when it is full. Calculate the change in the natural frequency of vibration of the wing, modeled as in Figure 1, as the airplane uses up the fuel in the wing pod. The estimated physical parameters of the beam are I = X.Y x 105 m², E = Y.Z x 10° N/m², and 1= 2 m Vertical wing vibration E,I Figure 1: Airplane wing. (a) Formulate the equation of motion of the airplane wing. (b) Express the total solution of the airplane wing. (c) Compute the natural frequency of the airplane wing. E x(1) x(0) (d) Identify the type of vibration suppression and the transducer for measuring the vibration effect.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

Let XYZ = 728

Consider an airplane wing with a fuel pod mounted at its tip as illustrated in Figure 1.
The pod has a mass of 10 kg when it is empty and 1000 kg when it is full. Calculate
the change in the natural frequency of vibration of the wing, modeled as in Figure 1,
as the airplane uses up the fuel in the wing pod. The estimated physical parameters of
the beam are I = X. Y x 10-5 m², E = Y.Zx 10° N/m², and 1= 2 m
Vertical wing vibration
E,I
1
Figure 1: Airplane wing.
(a) Formulate the equation of motion of the airplane wing.
(b) Express the total solution of the airplane wing.
(c) Compute the natural frequency of the airplane wing.
m
x(1)
x(0)
(d) Identify the type of vibration suppression and the transducer for measuring the
vibration effect.
*Important notes: the value of XYZ is obtained from the last 3 digits of your matric
number.

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