Answered: Obtain a state-space representation of…

Obtain a state-space representation of the mechanical system shown below, where u₁ and u₂ are the inputs and y₁ and y₂ are the outputs.

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: a) 0.2% offset yield strength b) Tensile strength

Q: In the context of a Spark Ignition (SI) engine, consider a moment during combustion when there is a…

A: Given:Heat flux through the wall of the combustion chamber, The gas temperature within the cylinder,…

Q: Mike's bedroom measures 12 feet by 10 feet and has an 8-foot ceiling. It is poorly insulated and on…

A: In general rules of thumb, in the case of a fully insulated room, 20 BTUs capacity AC is needed per…

Q: If p = Pexplj(wt – kx)], find (a) the acoustic density, (b) the particle speed, (c) the velocity…

Q: The structure shown in the figure below consists of steel members connected via pins and is…

Q: 500 kN/m 500 kN/m [M 3 3 3 F 1000 kN/m F w onsider the spring assemblage shown in the figure above.…

A: The force is

Q: In a slider crank mechanism, the force applied to the piston is 1 kN, when the crank is at 60° from…

Q: Two 4.5-\mu F capacitors, two 2.5 k\Omega resistors, and a 20.0 - V source are connected in series.…

A: Capacitance of the capacitor C = 4.5 x10-6 FResistor connected in series with the capacitor R = 2…

Q: A 26 g ice cube at -67\deg C is placed in a lake whose temperature is 15\deg C. Calculate the change…

Q: 2. Connor lives on a steep hill and wants to conduct a Dynamics experiment with his car. He starts…

Q: Solve parts d and e

Q: 1. (60%) The rigid beam shown here is supported by a pin at D and an A992 steel guy wire AB of…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Qigihar House in Heilongiiang Province, China Heat Loss Problems, BSCl 2101 Climate: Avg.…

Q: Points for stress vs strain (in image) Assume the compressive concrete strength (f’c) is 3,000…

Q: for a real substance how P (pressure) changes with changes in V (volume) and T (temperature) in…

Q: Calculate the heat required in terms of BTU to vaporize 75-kg of water at a saturation temperature…

A: The objective of the question is to calculate the heat required to vaporize a given mass of water at…

Q: Determine (rB/A) x and (rB/A)y, the x and y components of the vector r' B/A

Q: Is there the range of pipe diameters D for which the flow is definitely laminar? O No O Yes, the…

A: DefinitionLaminar flow:The fluid particles which move in smooth, parallel layers without mixing…

Q: Evaluate the stability of the 3 m wide x 5 m deep (into the page) x 2 m tall block with a SG of 0.5…

Q: Task 2.1: In a horizontal water pipe (length L=10 m) inner radius r; = 1.25 cm), water flows with an…

A: Given:The length of the pipe, The inner radius of the pipe, The diameter of the pipe, The inlet…

Q: In radiation heat transfer analysis a body which completely absorbs the radiant energy incident on…

A: Radiation is energy that comes from a source and travels through space at the speed of light.

Q: - The square plate is deformed into the shape shown by ormal strain along diagonal AC and the shear…

A: Calculation for normal strain in AC

Q: 5.23. Refer to Fig. 5-24. The body A weighs 32.8 lb and rests on a smooth surface. The body B weighs…

A: Given:WA = 32.8 lbWB = 14.3 lbTo find:Tensions : S1 & S2Normal reaction of the horizontal…

Q: below. ate the magnitude of the resultant for the force system shown in figure SOON 600N 407 30 400N…

Q: Replace the force system acting on the beam by an equivalent force and couple moment at point A.…

Q: Temperature (°C) 700 600 500 400 300 0 (AI) a 5 a+L 10 10 a +0 20 L 30 Composition (wt% Cu) 20 0+ L…

A: Given : of Cu at the temperrature

Q: Sketch the kinematic diagram and calculate the mobility of all the linkages (Degrees of Freedom).…

A: To findDraw a kinematic diagram and calculate the mobility.Given

Q: 2. If the engine operates at 50 cycles per second, the power output is A) 381 W B) 45.8 W C) 1145 W…

A: Definition:Engine powerThis engine power focuses on how much labor or energy an engine can generate…

Q: A compound assembly is formed by brazing a brass sleeve on to a solid steel bar of 60mm diameter.…

A: To findFind the diameter of the brass sleeve so that the sleeve carries 20% of the load.Find for the…

Q: The force F points in the direction of the unit vector ê=31-33) + and it magnitude is 120 N.…

A: The magnitude of force is The direction of force is

Q: 3. Compute the moment about line AB, MA in units of (N-m) using the STP (scalar triple product).…

Q: 60 kN/m Z 60 kN/m 60 kN/m 60 kN/m Consider the spring assemblage shown in the figure above. Use the…

A: The force applied at node 3 is

Q: 3.32 Why don't Tables A-6 and A-6E include columns for saturated liquid?

Q: 2-1. Determine the magnitude of the resultant force_FR = F₁ + F₂ and its orientation 0, measured…

Q: A tank 14' high and 28" in diameter is filled with water. The total pressure on the bottom of the…

Q: 1) In the multi-fluid multi-bend manometer figure below, determine Ap between points A and B. All…

Q: 2.19 Two structural members A and B are bolted to a bracket as shown. Knowing that both members are…

Q: 1. (50 pts) A beam is fixed on one end and free on the other. It has an open circular cross-section…

A: The objective of the question is to determine the stress state at points A, B, C, D and the maximum…

Q: Blue and yellow streams of paint (each with a density of 1.6 slugs/ft3 and a viscosity 1500 times…

Q: A 10-kg steel sphere is suspended from the 15-kg frame which slides down the 20° incline. If the…

Q: The beam shown below carries point and linearly distributed loads and is supported by a pin on the…

Q: During Extension of vertical cylinder Pressure Reading PSI 140 Flow Meter Reading 500 GPM 2.8 Time…

Q: 12. A constant diameter pipeline is used to transfer water from one location to location. At outlet,…

A: Since there are two problems, according to our guidelines, we are supposed to answer the first one.…

Q: 2) A) Find how much of force FAB is in the direction of bar OA. b) Find how much of force FAB is…

A: Given:The force and its orientation are given below;

Q: A composite shaft consists of 3 cylinders that are made from aluminum, copper and steel. Multiple…

A: To findDetermine the normal stress in section AB, Determine the normal stress in section BC,…

Q: Two engines have cylinders which are geometrically the same in size and shape. The cylinders of…

A: The objective of the question is to compare two engines, one with a cooling system (engine A) and…

Q: Compute the time constant and the frequency of oscillation, if any, for the following models.…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 3.28 Using the tables for water, determine the specified property data at the indicated states. In…

Q: Exercise 2 A closed container containing an ideal gas is divided into two volumes by a moving piston…

Q: Determine the magnitude and direction of the resultant forces system shown in Figure. R = 71.8 N,…

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

full solution pls no short cut show the process

3.
Obtain a state-space representation of the mechanical system shown below, where u₁ and u₂ are the inputs and y₁ and y₂
are the outputs.
Y1 Y
Y2
k₁
b₁
m1
u₁
U2
+
m2
ww
k₂

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: Objective

VIEW

Step 2: State space representation

VIEW

Step 3: Derivation

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 5 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.
Describe the concept of a transfer function in the context of system modeling. How is it used to represent a system's behavior?
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.
Derive the state-space representation of the following system where the input is f(t) and the outputs isthe y1 =X1, y2=X2, y3=X3
Explain the state space function
RESULTANT OF NON-CONCURRENT FORCE SYSTEMEngineering Mechanics
Consider a physical system with a three-dimensional state space. An orthonormal basis of the state space is chosen. In this basis the Hamiltonian is represented by the matrix H = [2 1 0 1 2 0 0 0 3] What are the possible results when the energy of the system is measured? A particle is in the state| psi > which is represented in this basis as, with i = Squareroot (-1), 1/Squareroot 3 [i -i i] Find , , and Delta H.
If a system is subjected to a suddenly applied non-periodic force, the answer is: a) constant b) transient c) periodic
What is the step response of the dynamic system pictured below?
Translational mechanical systems Get the input-output model Get the Transfer Function Get representation in State Variables