Calculate questions A B And C Q4Figure Q4 shows the schematic for a pressure pad. The pad has area A and isconnected to a rod of length 6L which is free to rotate about its hinge point at0. The rod is supported by a damper of coefficient c and a spring with stiffnessk, in the positions shown. The rod has a moment of inertia I, about an axisthrough the pivot point, 0. The pad has a pressure P(t) applied to it whichcauses an angular displacement, 0, as indicated.(a)Assuming small angular displacements, derive an expression for the transferfunction of the system relating angular displacement 0 to an input pressure P.Derive an expression for the displacement of the rod, 0(t), in response to a stepinput of pressure of magnitude 100 Pa given the following data:(b)1, = 4 kgm2; c = 40 Ns/m; k = 500 N/m; L = 0.5 m; A = 0.2 m?(c)Working from first principles, calculate the rise time, t,, of the system.(d)Calculate the Maximum overshoot as a percentage value.P(t)2L2L2LFigure Q4

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Figure Q4 shows the schematic for a pressure pad. The pad has area A and is connected to a rod of length 6L which is free to rotate about its hinge point at 0. The rod is supported by a damper of coefficient c and a spring with stiffness k, in the positions shown. The rod has a moment of inertia 1, about an axis through the pivot point, 0. The pad has a pressure P(t) applied to it which causes an angular displacement, 0, as indicated. Assuming small angular displacements, derive an expression for the transfer function of the system relating angular displacement 0 to an input pressure P. Derive an expression for the displacement of the rod, 0(t), in response to a step input of pressure of magnitude 100 Pa given the following data: 1, = 4 kgm²; c = 40 Ns/m; k= 500 N/m; L= 0.5 m; A= 0.2 m² Working from first principles, calculate the rise time, t,, of the system.

Figure Q4 shows the schematic for a pressure pad. The pad has area A and is connected to a rod of length 6L which is free to rotate about its hinge point at 0. The rod is supported by a damper of coefficient c and a spring with stiffness k, in the positions shown. The rod has a moment of inertia 1, about an axis through the pivot point, 0. The pad has a pressure P(t) applied to it which causes an angular displacement, 0, as indicated. Assuming small angular displacements, derive an expression for the transfer function of the system relating angular displacement 0 to an input pressure P. Derive an expression for the displacement of the rod, 0(t), in response to a step input of pressure of magnitude 100 Pa given the following data: 1, = 4 kgm²; c = 40 Ns/m; k= 500 N/m; L= 0.5 m; A= 0.2 m² Working from first principles, calculate the rise time, t,, of the system.

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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