Stiffness equation: W A¡E; kp Bucket R 13, A3 - Telescoping arm 2, A2 4, A1 45° Figure Q1 ----

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Q= 750 

R =  10 

S = 40 

T = 20 

U = 3

Stiffness equation:
W
A; E;
%3D
Bucket
R
13, A3´
-Telescoping arm
2, A2
4, A1
45°
Figure Q1
----
-----.
Transcribed Image Text:Stiffness equation: W A; E; %3D Bucket R 13, A3´ -Telescoping arm 2, A2 4, A1 45° Figure Q1 ---- -----.
(a)
Figure Q1(a) shows a fire truck system which consist of a bucket attached at the end
of the telescoping arm. Given that the mass of the bucket including the fireman is W
= Q kg, the length of the telescoping arm given as l1 = l2 = l3 = R m, with cross-
sectional areas of A1 = S cm?, A2 = T cm? and A3 = U cm? and Young's modulus, E =
2.5 x 10' Pa.
Q1
Note: The values of Q, R, S, T and U depend on the respective 2nd, 3rd, 4th, 5th, and 6th
digits of your matric number
number is AD170154 gives the value of Q = 650 kg, R = 10 m, S = 40 cm², T = 10
cm? and U = 4 cm?.
shown in Table Q1. For example, if your matric
(i)
Analyze the total stiffness of the telescoping arm in a vertical direction.
(ii)
Determine the natural frequency of the system.
Transcribed Image Text:(a) Figure Q1(a) shows a fire truck system which consist of a bucket attached at the end of the telescoping arm. Given that the mass of the bucket including the fireman is W = Q kg, the length of the telescoping arm given as l1 = l2 = l3 = R m, with cross- sectional areas of A1 = S cm?, A2 = T cm? and A3 = U cm? and Young's modulus, E = 2.5 x 10' Pa. Q1 Note: The values of Q, R, S, T and U depend on the respective 2nd, 3rd, 4th, 5th, and 6th digits of your matric number number is AD170154 gives the value of Q = 650 kg, R = 10 m, S = 40 cm², T = 10 cm? and U = 4 cm?. shown in Table Q1. For example, if your matric (i) Analyze the total stiffness of the telescoping arm in a vertical direction. (ii) Determine the natural frequency of the system.
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