shown. Note that the spring 1 is stretched by A in this tatic equilibrium configuration. Note also that the spring 2 s unstretched in this static equilibrium configuration. (1) Draw the Free Body Diagram of the mass m. (2) Draw the Free Body Diagram of the rigid bar AB in a deformed configuration (that is, when x > 0). (3) Determine A of the spring 1. (Show all your work!) (4) Determine the equation of motion for mass m. You mi + (k should use the coordinate x. Do NOT solve the equation. (Show all your work!) (5) Determine the natural frequency of the system, @, . Wn = Ms

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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ANSWER ALL QUESTIONS OTHERWISE DONT ATTEMPT IT STRICTLY.

Q.2-21
The light (i.e., massless), rigid bar is pinned at O as shown
in the figure. The system undergoes small oscillations in
the vertical plane under the action of the force F(t). At
spring 1
t= 0, the system is in equilibrium in the configuration
massless, rigid bar
spring 2
shown. Note that the spring 1 is stretched by A in this
static equilibrium configuration. Note also that the spring 2
is unstretched in this static equilibrium configuration.
a
(1) Draw the Free Body Diagram of the mass m.
F(t) = Psin(@t)
(2) Draw the Free Body Diagram of the rigid bar AB in a
deformed configuration (that is, when x > 0).
(3) Determine A of the spring 1. (Show all your work!)
(4) Determine the equation of motion for mass m. You
should use the coordinate x. Do NOT solve the
equation. (Show all your work!)
(5) Determine the natural frequency of the system, @, .
Wn =
!i!
am
www
Transcribed Image Text:Q.2-21 The light (i.e., massless), rigid bar is pinned at O as shown in the figure. The system undergoes small oscillations in the vertical plane under the action of the force F(t). At spring 1 t= 0, the system is in equilibrium in the configuration massless, rigid bar spring 2 shown. Note that the spring 1 is stretched by A in this static equilibrium configuration. Note also that the spring 2 is unstretched in this static equilibrium configuration. a (1) Draw the Free Body Diagram of the mass m. F(t) = Psin(@t) (2) Draw the Free Body Diagram of the rigid bar AB in a deformed configuration (that is, when x > 0). (3) Determine A of the spring 1. (Show all your work!) (4) Determine the equation of motion for mass m. You should use the coordinate x. Do NOT solve the equation. (Show all your work!) (5) Determine the natural frequency of the system, @, . Wn = !i! am www
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