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For this problem, take a look at Figure 2. Assume that the rod is massless, perfectly rigid, and pivoted at point P. When the rod is perfectly horizontal, the angle = 0, the displacement y =0, and the spring is in neither tension nor compression. Gravity acts on the system (e.g. on mass M). We assume that y is a small displacement. A mass M is attached at the end of the rod. k a 0 a F The equation of motion for the system can be derived to be: a 4a MÖ + ak0 = -F- 2Mg M Your tasks: A. Transform the rotational equation of motion, which is in 0, given above, to another variable, y, which is zero at the static equilibrium position. anical system in state space form. Using MATLAB or a calculato alues of INI W 16 [N/m], an C. Derive the response of the system in the Laplace (s) domain. Use the static equilibrium value found in part A (Ost) as the initial value, y(0), for the problem. Assume (0) and the force, F, are both zero. You may treat gravity as g = 10 [m/s2] for ease of calculation. (

For this problem, take a look at Figure 2. Assume that the rod is massless, perfectly rigid, and pivoted at point P. When the rod is perfectly horizontal, the angle = 0, the displacement y =0, and the spring is in neither tension nor compression. Gravity acts on the system (e.g. on mass M). We assume that y is a small displacement. A mass M is attached at the end of the rod. k a 0 a F The equation of motion for the system can be derived to be: a 4a MÖ + ak0 = -F- 2Mg M Your tasks: A. Transform the rotational equation of motion, which is in 0, given above, to another variable, y, which is zero at the static equilibrium position. anical system in state space form. Using MATLAB or a calculato alues of INI W 16 [N/m], an C. Derive the response of the system in the Laplace (s) domain. Use the static equilibrium value found in part A (Ost) as the initial value, y(0), for the problem. Assume (0) and the force, F, are both zero. You may treat gravity as g = 10 [m/s2] for ease of calculation. (

Elements Of Electromagnetics
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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For this problem, take a look at Figure 2. Assume that the rod is massless, perfectly rigid, and pivoted at point P. When the rod is perfectly horizontal, the angle 0 = 0, the displacement y = 0, and the spring is in neither tension nor compression. Gravity acts on the system (e.g. on mass M). We assume that y is a small displacement. A mass M is attached at the end of the rod. k Schen a 0 a F The equation of motion for the system can be derived to be: a 4aM0+ ak0 =-F-2Mg T y M Your tasks: A. Transform the rotational equation of motion, which is in 0, given above, to another variable, y, which is zero at the static equilibrium position. onical system in sta bace form. Using MATLAB or a calculator lues of INI. W 16 [N/m], and C. Derive the response of the system in the Laplace (s) domain. Use the static equilibrium value found in part A (Ost) as the initial value, (0), for the problem. Assume (0) and the force, F, are both zero. You may treat gravity as g = 10 [m/s²] for ease of calculation. (
Transcribed Image Text:For this problem, take a look at Figure 2. Assume that the rod is massless, perfectly rigid, and pivoted at point P. When the rod is perfectly horizontal, the angle 0 = 0, the displacement y = 0, and the spring is in neither tension nor compression. Gravity acts on the system (e.g. on mass M). We assume that y is a small displacement. A mass M is attached at the end of the rod. k Schen a 0 a F The equation of motion for the system can be derived to be: a 4aM0+ ak0 =-F-2Mg T y M Your tasks: A. Transform the rotational equation of motion, which is in 0, given above, to another variable, y, which is zero at the static equilibrium position. onical system in sta bace form. Using MATLAB or a calculator lues of INI. W 16 [N/m], and C. Derive the response of the system in the Laplace (s) domain. Use the static equilibrium value found in part A (Ost) as the initial value, (0), for the problem. Assume (0) and the force, F, are both zero. You may treat gravity as g = 10 [m/s²] for ease of calculation. (
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Explain part c please, why do you have flux symbol there? 
Can you show work for limit to get laplace transform or work to get to laplace tranform

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