The rigid beam (mass m = (1.5 m) is supported by an elastic spring (k (4 N/m) and damper (b= 2 N/(m/s)), and is pinned to the ground. 2 kg, length l = %3D %3D a) Find the linearized equations of motion in terms of z, the relative displacement between the end of the bcam and the ground; b) what is the frequency of the resulting motion; e) if the mass of the spring is taken to be = 1 kg, find the new frequency Mypring of the oscillations.

The rigid beam (mass m = (1.5 m) is supported by an elastic spring (k (4 N/m) and damper (b= 2 N/(m/s)), and is pinned to the ground. 2 kg, length l = %3D %3D a) Find the linearized equations of motion in terms of z, the relative displacement between the end of the bcam and the ground; b) what is the frequency of the resulting motion; e) if the mass of the spring is taken to be = 1 kg, find the new frequency Mypring of the oscillations.

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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Forced undamped vibrations

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Question

16.
The rigid beam (mass m = 2 kg, length l =
(1.5 m) is supported by an elastic spring (k =
(4 N/m) and darmper (b = 2 N/(m/s)), and is
pinned to the ground.
%3D
k
a) Find the linearized equations of motion
in terms of z, the relative displacement
between the end of the beam and the
ground;
(m,1)
b) what is the frequency of the resulting
Ymotion;
e) if the mass of the spring is taken to be
711spring = 1 kg, find the new frequiency
of the oscillations.

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