6. Consider the mechanical system shown in Fig. 8. Let V(t) be the input and the accelerationof the mass be the output. Derive the state equations and the output equation using lineargraphs and normal trees.BmV₁(t)Figure 8: A mechanical system with anacross-variable source

Below is the clarified and detailed explanation for above tricky question....if you are ok with my…

Answered: 6. Consider the mechanical system shown…

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

See similar textbooks

Similar questions

The relative displacement u(t) of a single-storey shear building subjected to an earthquake ground motion is represented by the following second-order linear ordinary differential equation: d?u dt2 du + c + ku = a, (t) m dt where m, c, and k are the mass (kg), damping constant (Ns/m), and stiffness of the structure (N/m), respectively. Meanwhile, a,(t) is the function of earthquake ground acceleration. Suppose the building with a mass of 2000 kg and supported by columns of combined stiffness of 32 x 103 N/m is subjected to earthquake with ground acceleration given by the following function: ag(t) = 36000 cos 2t Find the equation of the displacement, u(t), given the damping is not installed to the building. Then, find how much the building is displaced from t =30 seconds to t =60 seconds of earthquake.
Rotational Mechanical System: Find the transfer function for each rotational mechanicalnetwork shown below.
A weighing scale can be modelled as a dynamic system, as shown in Figure. The transfer function of the system, using Laplace transforms, is: F(t) m Oms² + cs+k=F(s) mx+cx+kx = F(t) X (s) F(s) 1 mx + cx + k X (s) F(s) ms 2 1 +cs + k 2
The Johnson & Royce model of a distillation column is driven by the inputs of steam flow and its flow rate; the output measurement is the temperature change. The state-space model is given by: -2 x = [¯²¯¯¯7 | x + | | | u; y = [0_1]x - the system defining the model of the distillation column is a. Asymptotically stable O b. Unstable Oc. Marginally stable Od. Indeterminate in relation to its stability
1 Overview In this project, you'll use several robot datasets for estimation and you will implement a Kalman Filter (KF) for state estimation. Consider the vehicle depicted in Fig. 1 with m = 0.5, k = 3.5, b = 2. The position s and velocity v represent the state x of the system and the input ƒ (t) is the force often denoted with u. F b m Figure 1: Robot cart 0 s(t) f(t) 1. Write the system in state space form and consider additive Gaussian white noise to the model n N (0, Q). Discretize the system state space form using Euler approach (30 points).
please give me full solution thanks
Forcing Function Spring Constant (2)4 Mass k Friction Constant b m Mass Displacement y(t) 3. (20 pts.) Consider the following spring-mass-damper mechanical system (it is placed sideways, so that you won't need to consider gravity). The input is given by f(t), and the output is y(t). Find an equation in frequency domain (s domain) that defines the relationship between the input F(s) and the output Y(s).
Multiple DOF SystemsA 2-D spring-mass, frictionless system has the following parameters:m1 = 72m2 = 27k1 = 381k2 = 183x1,0 = 0 mx2,0 = 1 mv1,0 = -1 m/sv2,0 = 0 m/s In MATLAB, solve numerically for x1(t) and x2(t).
2. For the system below, find the transfer function fromfi to x (driving point receptance) and from f. to ä, (driving point accelerance). What is the acceleration response of mass m, if m; = 2 kg, m; = 4 kg, k, = 40 N/m, k =100 N/m, and k; = 200 N/m, fi(t) = 20 cos(3t) N and f:(r) = 0? WW m, WW m W
1. Consider the simplified model we discussed in class about a car on a bumpy road. The car has a mass m supported by stiffness k and damping c. The road gives a displacement excitation R(t) to the car. The transfer function from R(t) to the car displacement y(t) is Hy(s) - Y(s) R(s) cs + k ms² + cs+k (1) (a) Determine the driving point impedance ZR(s), which is the ratio of the velocity R(t) to the force acting on the wheel from the road. (b) Engineer X is testing the car in the Vehicle Dynamics Lab of a start-up company GF.com. Because of insufficient cash flow, Engineer X only has the equipment to mea- sure ZR(s), and identify the zeros and poles of ZR(s). But eigineer X wants to find the poles of Hy(s). To do so, should Engineer X use the zeros or poles of ZR(s) instead? Explain why? m y(t) R(t) Figure 1: A simple model of a car on a bumpy road
Q2: Derive the 1st order transfer function of a liquid-level system shown fig. (1) to determine the response of the outlet flow (q.(t)) to unit pulse change in the inlet flow (qin (t)). q (t) I Ih(t) 1 Fig.(1) R go (t)
Look at the below system. Assume that the forcing function is a sine and cosine response (i.e., F = Focos(wt) and F = Fösin(wt)). If your system has the following variables: m= K= 15 kg 207 F₁ = 168 w = w₁/2 Xo = 1 m/s Vo = -1 m/s Plot both responses of the system.

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS

6. Consider the mechanical system shown in Fig. 8. Let V(t) be the input and the acceleration of the mass be the output. Derive the state equations and the output equation using linear graphs and normal trees. B m V₁(t) Figure 8: A mechanical system with an across-variable source