The mass m in the given figure is attached to a rigid rod with an inertia /about the pivot and negligible pivot friction. The input is the displacement z. When z= 0 = the spring is at its free length. a. Assuming that 0 is small, identify the equation of motion for e with z as the input. (Submit for Feedback using Connect) b. Use the Laplace transform method to determine the characteristic equation for this system. c. Solve this for the step response, 0(t), for the following system parameters and if the amplitude of the input step is z = 4 mm: System_Parameters = (k = 100000.0 c= 1200.0 L, = 0.03 L2=0.04 L3=0.1 m=2.0 I=0.8 g=9.81 units : k ~. N.s. ; L,L2, L2 ~ m; M ~ kg; 1 ~ kg · m²; 8 ~ ; m m

Elements Of Electromagnetics
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The mass m in the given figure is attached to a rigid rod with an inertia /about the pivot and negligible pivot friction. The input is the displacement z. When z= 0 = 0,
the spring is at its free length.
k
ww
L3
I
a. Assuming that 0 is small, identify the equation of motion for e with z as the input. (Submit for Feedback using Connect)
b. Use the Laplace transform method to determine the characteristic equation for this system.
c. Solve this for the step response, 0(t), for the following system parameters and if the amplitude of the input step is z = 4 mm:
System_Parameters =
(k =
= 100000.0 c = 1200.0 L = 0.03
L2= 0.04 L = 0.1
m= 2.0 I= 0.8 g=9.81
units : k - N; c~~ N.s. L1, L2, L2 ~ m; M ~ kg; 1 ~ kg · m²; g ~ ;
m.
m
m
Transcribed Image Text:The mass m in the given figure is attached to a rigid rod with an inertia /about the pivot and negligible pivot friction. The input is the displacement z. When z= 0 = 0, the spring is at its free length. k ww L3 I a. Assuming that 0 is small, identify the equation of motion for e with z as the input. (Submit for Feedback using Connect) b. Use the Laplace transform method to determine the characteristic equation for this system. c. Solve this for the step response, 0(t), for the following system parameters and if the amplitude of the input step is z = 4 mm: System_Parameters = (k = = 100000.0 c = 1200.0 L = 0.03 L2= 0.04 L = 0.1 m= 2.0 I= 0.8 g=9.81 units : k - N; c~~ N.s. L1, L2, L2 ~ m; M ~ kg; 1 ~ kg · m²; g ~ ; m. m m
Expert Solution
Step 1

Mechanical Engineering homework question answer, step 1, image 1

Here consider the spring at its free length when z=0 amd θ=0The modified functional diagram of pendulum with a concentrated mass as shown in the figure above

 

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