Fixed Fixed End End L/6 i L/6 2L/3 k- k< Point mass, M Uniform rod of mass, m Fixed End

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Fixed
Fixed
End
End
L/6
2L/3
L/6
k<
k-
Point
k
mass, M
Uniform rod of
mass, m
Fixed
End
My
Transcribed Image Text:Fixed Fixed End End L/6 2L/3 L/6 k< k- Point k mass, M Uniform rod of mass, m Fixed End My
A uniform rod of mass m is pivoted at a point O as shown in Figure 2. The rod is constrained by three
identical linear springs, and a point mass M is attached at the end of the rod (also shown in Figure 2).
The parameters of the system are as follows: L= 1 m, k = 1000 N/m, m= 50 kg, M = 25 kg.
i.
Derive the equation of motion of the system in terms of the angular displacement (0). Choose
O as the clockwise angular displacement of the rod from the system's static equilibrium
position.
Transcribed Image Text:A uniform rod of mass m is pivoted at a point O as shown in Figure 2. The rod is constrained by three identical linear springs, and a point mass M is attached at the end of the rod (also shown in Figure 2). The parameters of the system are as follows: L= 1 m, k = 1000 N/m, m= 50 kg, M = 25 kg. i. Derive the equation of motion of the system in terms of the angular displacement (0). Choose O as the clockwise angular displacement of the rod from the system's static equilibrium position.
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