system dynamics homework help

Boost your journey with 24/7 access to skilled experts, offering unmatched system dynamics homework help

Trusted by 1.1 M+ Happy Students

4.2Trust Pilot

4.4Edu Reviewer

5App Review

4.5Student

Recently Asked system dynamics Questions

Expert help when you need it

Q1:Consider the closed-loop system shown below:See Answer
Q2: Problem 2. (a) A tachometer has an analog display dial graduated in 5 rpm increments.The user manual states an accuracy of 1% of reading. Estimate the uncertainty in the reading at 10 rpm, 500 rpm and 5000 rpm. (b) A certain obstruction type flow meter (orifice, venturi, nozzle), shown in the following figure is used to measure the mass flow rate of air at low velocities. The relationship describing the flow rate is: \dot{m}=C A \sqrt{\left[\frac{2 g_{c} p_{1}}{R T_{1}}\left(p_{1}-p_{2}\right)\right]} where, * C = empirical-discharge coefficient. * A = flow area * T1 = upstream temperature * R = gas constant for air * Pi and p2 = upstream and downstream pressures, respectively. Calculate the percent uncertainty in the mass flow rate for the following conditions:See Answer
Q3: A non linear dynamic system is described by the following three state variable equations: \dot{q}_{1}=q_{2}-q_{3} \dot{q}_{2}=u+q_{2}+\frac{1}{2}\left|q_{1}\right| q_{1} \dot{q}_{3}=3 q_{1}+6 q_{3} Assume that \bar{q}_{3}=2 What is the value of \bar{q}_{1} ?See Answer
Q4: 1. Given the electrical circuit shown below (a) Obtain an equivalent rotational mechanical system free body diagram. (b) Obtain an equivalent translational mechanical system free body diagram. (c) Obtain the state variable form of the system in terms of electrical elements. See Answer
Q5: What is the value of \bar{q}_{2}See Answer
Q6: If the equations are linearized around the normal operating point, they can be put into matrix form as \dot{\hat{q}}=A \hat{q}+B \hat{u} where q=\left[q_{1} q_{2} q_{3}\right]^{T} What is the value of the A matrix? See Answer
Q7: 1. Consider the closed-loop system shown below: where K, > 0, K, > 0 and T > 0. Determine stability of the closed-loop system using Routh's stability criterion.See Answer
Q8: - Consider the closed-loop system shown below: Find the sensitivity function (i.e. S(s) = E(s)/R(s)) (5 points) and calculate the steady-state error with the unit ramp reference (i.e. r(t) = t) (5 points) using final value theorem.See Answer
Q9: Problem 5. In the Problem 4, calculate the steady-state errors with the unit step (r(t) = 1)(5 points) and the unit ramp (r(t)3Dt) (5 points) references.See Answer
Q10: Problem 1. (a) A first order instrument is described by the following mathematical model: 2 \frac{d y}{d t}+30 y=120 The time constant of the system is 15 seconds. (b) The following spring-mass-damper system is: * Zero order * 1st Order * 2nd Order * 3rd Order * YES * NO (c) The natural frequency of the above system is: \omega_{\mathrm{n}}=\sqrt{\frac{M}{K}} * YES * NO (d) The damping ratio of the above system is: \zeta=\frac{f_{v}}{2 \sqrt{K M}} * YES *NO (e) A thermometer is an analog device (f) A pressure gauge is a digital device * YES * NO (g) The following signal has a frequency of 10-Hz. * YES * NO (h)A design stage uncertainty analysis is performed when there is a finite set of data available. * TRUE * FALSESee Answer
Q11: Below are three differential equations. From each one, find a (i) transfer function and (ii)the state space representation. The values that you'll use for the coefficients are different for each student and can be accessed in the accompanying excel document. For both the TF and SS, use f(t) as the input and x as the output. a_{1} \ddot{x}+b_{1} \ddot{x}+c_{1} \dot{x}+d_{1} x=f(t) b_{2} \ddot{x}+c_{2} \dot{x}+d_{2} x=f(t) c_{3} \dot{x}+d_{3} x=f(t) See Answer
Q12: a.Develop a model, i.e. differential equation(s), that describes the behavior of this system (10 points) b- What is one assumption you're making about the system? (5 points c. We are treating this as a linear time invariant system.What is a reason that the real system would not be linear? What is a reason that the real system would not be time invariant? (5 points)See Answer
Q13: What flow rate, win, is needed to maintain a steady state level of 0.2 m (7.5 points)? 1 Solve for how long it will take for the system to reach 63.2% of its steady state value (you do not have to solve the DE to find this!) (5 points) See Answer
Q14: 4. Give the differential equation to model the height h1 of the fluid system below. (Include cases where h1 > D and h1 < D.) See Answer
Q15: 5. For the following fluid system: Give a dynamic-systems model. Assume that h > h1 + h2 and h < h1 + h2 + h3. Assume that the length of the tank is 1 (for example, the area of the base is w1 · 1 = w1). b. Suppose that qmi = 3 kg / s. If h1 = h2 = h3 = 1 and w1 = 2, w2 = 4, w3 = 6, and R = 5. Assume p= 1 and g = 10 m/s. Find the steady-state value of h. Turn in all problem statements with your homework. Box all answersSee Answer
Q16: 3. Apply MATLAB to the previous problem in order to answer the following: а. Plot h1, h2 and h3 as a function of time when the input is the unit step function. Assume the initial conditions are h1 = 0, h2 = 10, and h2 = 5. Give all commands used to generate your plot. b. Plot the flows across each pipe as a function of time.See Answer
Q17: 2. For the fluid system below а.Give the dynamic systems model for h1, h2, and h3 in state variable matrix form. b. Determine the height of the water in each tank in steady state, assuming that A1 = 2, A2 = 3,A3 = 1, R1 = R2 = R3 = 1, qmi = 5 kg / s, g = 10 m² / s, p = 0.1 kg / m³. See Answer
Q18: The thin disk below turns on a massless arm B by way of a smooth bearing that keeps the axes of D and B aligned. The arm is hinged to the shaft driven at a constant angular speed N by a motor. The system is set up so that the arm is horizontal when the disk contacts the ground as shown. Assuming the disk of mass m rolls without slipping, find the force reactions and the moment reactions exerted by the arm on the bearings at point C in terms of the given dimensions, the mass,the normal force acting on the disk, the friction forces acting on the disk and the angular speed N. See Answer
Q19: Recall, the Eulerian angles that we defined in class as shown below. The axes (i, j, k) are fixed in body frame B and the axes (Î, Ĵ, K)of B with respect to mathF is represented through the angles (ø, 0, v) using a sequence about intermediate z, intermediate y and intermediate z-axis again to obtain body-fixed frame B in the final configuration, from the inertial reference frame F. This is often referred to as 3-2-3 sequence are fixed in the inertial reference frame F. The orientation or z-y-z sequence. You are hired as an control and navigation engineer at a satellite manufacturing firm. The satellite is equipped with thrusters which can rotate it about all the possible axes in the intermediate body-fixed frame at any given instant instead of just the y and z-axes. Now, there is a requirement to use a 2-1-3 sequence or the y-x-z sequence of successive rotations about the intermediate axes, \boldsymbol{F} \stackrel{\hat{J} \text { or } \hat{n}_{12}, \phi}{\longrightarrow} \mathbf{F}_{1} \stackrel{\hat{n}_{11} \text { or } \hat{n}_{21}, \theta}{\longrightarrow} \mathbf{F}_{2} \stackrel{\hat{n}_{23} \text { or } \hat{j}, \psi}{\longrightarrow} \mathbf{B} 1. Write down the individual rotation matrices for each of the Eulerian angles, i.e. Tó, Tạ, Ty. 2. Write the simplest angular velocity vector wB/F in terms of Euler angles according to the2-1-3 rotation sequence. Remember, the simplest expression is always written using basis vectors of intermediate reference frames. 3. Express the angular velocity vector wB/F in the second intermediate reference frame, F2, i.e.in terms of (în21, Ñ22, îÑ23)See Answer
Q20: 2. Consider the system shown in Fig. 2. A pulley 1 of radius R1 and moment of inertia I1 is connected another pulley A of radius R3 by mean of an unstrecthable belt. Pulleys A and B form a rigid body with a common hub and moment of inertia I2. a. Use the conservation of mechanical energy to find the equivalent system that can be used to replace the pulleys system (pulleys only). b. Write the kinematic equations relating the rotations between the pulleys. c. Use the equations found in a) and b) to determine the equivalent moment of inertia of the pulleys system. d. Determine the moment generated by the mass at pulley B and find the equivalent moment felt at the pulley 1. e. Write the equation of motion in terms of the angular velocity of the pulley 1 in case a moment M is applied at the shaft of the pulley 1. See Answer

TutorBin Testimonials

I got my System Dynamics homework done on time. My assignment is proofread and edited by professionals. Got zero plagiarism as experts developed my assignment from scratch. Feel relieved and super excited.

Joey Dip

I found TutorBin System Dynamics homework help when I was struggling with complex concepts. Experts provided step-wise explanations and examples to help me understand concepts clearly.

Rick Jordon

TutorBin experts resolve your doubts without making you wait for long. Their experts are responsive & available 24/7 whenever you need System Dynamics subject guidance.

Andrea Jacobs

I trust TutorBin for assisting me in completing System Dynamics assignments with quality and 100% accuracy. Experts are polite, listen to my problems, and have extensive experience in their domain.

Lilian King

Joey Dip

I found TutorBin System Dynamics homework help when I was struggling with complex concepts. Experts provided step-wise explanations and examples to help me understand concepts clearly.

Rick Jordon

Popular Subjects for system dynamics

You can get the best rated step-by-step problem explanations from 65000+ expert tutors by ordering TutorBin system dynamics homework help.

TutorBin helping students around the globe

TutorBin believes that distance should never be a barrier to learning. Over 500000+ orders and 100000+ happy customers explain TutorBin has become the name that keeps learning fun in the UK, USA, Canada, Australia, Singapore, and UAE.