State-Space Representation Write the state-space representation of the system below. Let the output of the mechanical system is x3 (t). 1 N-s/m 1 N/m -0000 x₁ (t) M3 = 1kg 1 N/m oooo M₁ 1kg > x3 (t) 1 N-s/m x₂ (t) M₂ 1kg 1 N-s/m² -1 N-s/m f(t)

State-Space Representation Write the state-space representation of the system below. Let the output of the mechanical system is x3 (t). 1 N-s/m 1 N/m -0000 x₁ (t) M3 = 1kg 1 N/m oooo M₁ 1kg > x3 (t) 1 N-s/m x₂ (t) M₂ 1kg 1 N-s/m² -1 N-s/m f(t)

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

Related questions

Q: write vector loop equation(s) theta2=57 also if a new length is constructed find its value.

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

Q: 8. Derive the transfer function X₁ (s)/F(s) for the mechanical system shown in Assume the following…

Q: A certain engine produces 10 kW indicated power. It's mechanical efficiency is 70%. Then the…

A: Given: Indicated power of the engine: →IP=10 KW And mechanical efficiency: →ηmech=70%=0.70

Q: A canal of trapezoidal section has bed width of 8 m and bed slope of 1 in 4000. If the depth of flow…

Q: Make a graphical plot of ISO cleanliness classes 1 to 4 for particle sizes 0.1 to 1um

A: Given question: Make a graphical plot of ISO cleanliness classes 1 to 4 for particle sizes 0.1 to…

Q: The driver of the truck has an acceleration of 0.32g as the truck passes over the top B of the hump…

A: Given data :- Normal acceleration = 0.32g Radius of curvature = 94 m Centre of mass from B = 2 m…

Q: What is the internal shear force over the cross section at point C? 8 kN/m A -4 m-C 8 m 10m B T2 KN

Q: A rigid, well-insulated tank contains a two-phase mixture of ammonia with 0.0019 ft3 of saturated…

Q: 9-29 The permissible shear stress for the weldment illustrated is 140 MPa. Estimate the load, F,…

A: Given Dataτs=140Mpad=75mms=6mm

Q: What is the magnitude of the projected component of force F ac on the z axis?

Q: Determine the reactions and the force in each member of the space truss. Indicate if the members are…

Q: A temperature sensor may be modeled as a sphere having a thermal conductivity of 91 W/m-K, a density…

Q: Determine the heat transfer, in Btu per lb of steam, for a polytropic exponent of 1.3,

A: First Law of thermodynamics- First law of thermodynamics is based on the conservation of energy.…

Q: A hollow circular steel shaft with an outside diameter of 2.569, and a wall thickness of 0.388 in.…

A: GivenPart 1D=2.569int=0.388inT=292 lb-ftL=124inG=12000 ksiPart 2D=2.915int=0.437inT=239 lb-ftL=105…

Q: A plane truss PQRS in which PQ = RS, and angle PQR = 90°, Calculate the forces in the members PR and…

A: Given data:

Q: The lap joint is fastened with four 3/4-inch diameter rivets. ➤a. If the allowable shearing stress…

Q: or a floating fastener application, a hole size specification of 385" minimum and .395" maximum…

A: Given For hole Maximum diameter = 0.395 in Minimum diameter = 0.385 in Find Final minimum…

Q: Using the rules discussed in this chapter, show the dimensions of the views shown.

A: The measurement of any object or the body in which we analyse its hieght, width and the length is…

Q: Calculate the moment of inertia about the centroid in the y axis (ly) if H=7 in, h=1.2 in, B=8 in…

Q: Which property of material can be determined by impact test?

A: following is the answer to the above problem-

Q: Consider a steam pipe of length L = 20 m, inner radius r₁ = 6 cm, outer radius r₂ = 12 cm, and…

Q: Consider modeling a temperature sensor as a sphere having a thermal conductivity of 91 W/m-K, a…

Q: A spring with 12 active coils and a spring index of 9 supports a static load of 220 N with a…

A: Given data as per the question Active coils =12Spring index =9static load =220NDeflection =120…

Q: Steam, initially at 700 lbf/in.2, 550°F undergoes a polytropic process in a piston-cylinder assembly…

Q: 03: A: What is the effect of increasing the airfoil angle of attack on lift and flight? Briefly…

A: Given question is related to fluid mechanics

Q: A stone is dropped from a balloon which rises vertically at a constant rate for 4 seconds from the…

A: Given data: t1=4 sect2=10 sec Need to determine the velocity of the balloon when the stone is…

Q: Given the cable tension T = 80 lb, determine a) the moment about point A due to T, and b) the…

A: Given Tension, T = 80 lb Distance, AB = 32 in Find Moment, A Shortest distance x

Q: A single acting two stage reciprocating compressor takes in air at a rate of 0.2 m3/s at a pressure…

Q: QUESTION 2 A single-cylinder, 4-stroke, 3-liter gasoline engine operates at 716 rpm and a…

Q: Air is compressed in a piston-cylinder assembly from p₁ = 15 lbf/in², T₁ = 500°R, V₁ = 9 ft³ to a…

A: Given data :- P1 = 15 lb/in^2 , T1 = 500°R , V1= 9 ft ^3 V2 = 1 ft ^ 3 Process pv^1.2 = constant…

Q: 3.5 A dormitory at a large university, built 50 years ago, has exterior walls constructed of L, =…

A: Given data Ls = 25 mm Ks = 0.1 W/mk Li = 25 mm Ki = 0.029 W/mk Lg= 5 mm Kg = 1.4 W/mk Ti = 22°C ,…

Q: Explain the difference and/or similarities of Upfeed System and Overheadfeed System distribution of…

A: Upfeed system distribution of cold water- when water distributed directly from municipal pipe water…

Q: 2. A fuel blend has a density of 700 kg/m3 and a midpoint boiling temperature of 90-C. What is its…

A: Given-Information:- Density, D = 700 kg/m3 = 700×0.001=0.7 g/ml Temperature, T = 90C To-Determine:-…

Q: A piston-cylinder arrangement contains water at 110°C, 87% quality with a volume of 1 L. What is the…

A: Given: T1=110oCx1=87%V1=1 L Diameter of the piston d=150 mm k=800 kN/m To find: a) Initial mass in…

Q: A compressor is to be used to draw air from the outdoors where the conditions are 26.5 C and 100.04…

A: The given information in the problem is listed in the following attached image:

Q: What is the (a) maximum positive moment in the beam and its location from point A and (b) the…

Q: 9-34 The attachment shown in the figure is made of 1018 HR steel 12 mm thick. The static force is…

A: Solution: Given Data:=1 t=12 mmP=100 kNw=75 mm

Q: write vector loop equation(s) theta2=57 also if a new length is constructed find its value.

Q: A single drum drier, operating at atmospheric pressure, is being used to dry a wet slurry,…

Q: Design the diameter of a steel pipe to carry water having kinematic viscosity v=10 m²/s with a mean…

Q: A specifeid hole diameter of min and max has specified tolerance at LMC. A produced hole of diamter…

A: Introduction: Tolerances in mechanical engineering define the permissible variation from specified…

Q: A piston-cylinder assembly contains 0.5 lb of propane. The propane expands from an initial state…

A: Given Data The mass of the propane is: m=0.5 lb The initial pressure is: p1=60 lbf/in2=8640 lbf/ft2…

Q: A rough pipe has a diameter 80 mm. the velocity at a point 30 mm fr more than the velocity at a…

Q: HVAC UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS. PLEASE ANSWER ALL THE SUBQUESTON…

A: Givenmoist airdry bulb tempearature of 26oCwet bulb tempearture of 20oC

Q: 1. Block A supports a pipe column and rests on wedge B as shown. Knowing that the coefficient of…

Q: R-134a at temperature = -10°C has a mass = 21 kg and a volume = 880L. The quality of the refrigerant…

A: Given:Temperature of R134a, T=-10°CMass of the refrigerant, m=21 kgVolume of the refrigerant, V=880L…

Q: 5. Air at 20°C db & DPT 20°C Determine the following: a. RH (Relative Humidity) b. DPT (Due…

A: Given Data The dry bulb temperature is: DBT=20° The dew point temperature is: DPT=20° To Determine…

Q: 9. Derive the transfer function X₂(s)/F(s) for the mechanical system shown in Figure 2. Assume the…

A: Given Data: Mechanical system with a properties are M1 = 3 kg, M2 = 2 kg, K1 = 5 N/m, K2 = 3 N/m, D1…

Q: A 5-kN tensile load is applied to a test coupon made from 1.6-mm flat steel plate (E = 200 GPa, v =…

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

Feedback & Control Systems
State-Space Representation
Write the state-space representation of the system
below. Let the output of the mechanical system is
x3 (t).
1 N-s/m
x₁ (t) M3 = 1kg
1 N/m
М1
-0000 1kg
> X3 (t)
1 N-s/m
1 N/m
oooo
x₂ (t)
M₂
1kg
4
1 N-s/m²
-1 N-s/m
→f(t)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Find: State-space representation Note: Output of mechanical system is X3(t) Given: M1=1 kg, M2=1 kg, M3=1 kg K1=1 N/m, K2=1 N/m Fv1=1 N-s/m, Fv2=1 N-s/m, Fv3=1 N-s/m, Fv4=1 N-s/m
Represent the translational mechanical system shown in state space, where x3(t) is the output.
A stock-flow system models the level of water in a lake. Near a certain equilibrium point, there are three feedback loops: an amplifying feedback loop with strength of +0.55 per month, a stabilizing feedback loop with strength of -0.09 per month, and an amplifying feedback loop with strength of +0.79 per month. Calculate the strength of the overall feedback.
What is the step response of the dynamic system pictured below?
1.block diagram physical meaning and the time response for different inputs
Sketch the level response for a bathtub with cross-sectional area of 8 ft 2 as a function of time for the following sequence of events; assume an initial level of 0.5 ft with the drain open. The inflow and outflow are initially equal to2ft3/min.(a)The drain is suddenly closed, and the inflow remains con-stant for 3 min (0≤t≤3).(b)The drain is opened for 15 min; assume a time constant in a linear transfer function of 3 min, so a steady state is essentially reached (3≤t≤18) (c)The inflow rate is doubled for 6 min (18≤t≤24).(d)The inflow rate is returned to its original value for 16 min(24≤t≤40).
SYSTEM MODELLİNG AND PROCESSİNG
TIME DOMAIN MODELING AND RESPONSE FOR CONTROL SYSTEMS
A velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): 1. What is the order of this system?
A velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): A. Use Laplace transform of the differential equation to determine the transfer function of the system.
Explain the state space function
Obtain the following requirements for a simple mass-spring-damper system with input of force f, output of displacement x, and translational motion only along the horizontal axis.a) Equation of motion,b) state space model,c) transfer function G(s),d) the time domain expression of the output according to the unit step function input,e) permanent regime error to be observed at the output according to the unit step function input,f) pole and zero positions in the complex plane,g) its absolute stability,h) the undamped natural frequency,i) damping ratio,j) damped natural frequency,k) open loop/static/dc gain,l) maximum overshoot (Mp),m) peak time (tp),n) settling time (ts, 2% tolerance).