Homework Answers
Add Answer to:
Problem 4: If the cart is massless, and is excited by the input displacement z(t): )...
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the...
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab to calculate the coefficients b) Simulate the response using Matlab (stem plot). Generate 50 points. (enter transfer function into Matlab and apply step input)
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab...
problem 3: I need help with #4 using Matlab. 4. Given that the input x(t) in...
problem 3:
I need help with #4 using Matlab.
4. Given that the input x(t) in problem 3 above is a step function of magnitude 2 [x = 2 u(t), find the output y() by fnding the inverse Laplace transform of Y (s) by the method of partial fraction expansion by MATLAB as explained on page 8 of Handout 2 (ilaplace command).
For the lever system shown, the input to the system is the displacement, y, and the...
For the lever system shown, the input to the system is the displacement, y, and the angle θ is the output. The position θ 0 corresponds to the equilibrium position when y-0. The lever has an inertia I about the pivot. Assume small displacements. 3. ki Derive the equation of motion Find the transfer function for the system. Discuss whether or not this system has numerator dynamics and what affect this has on the response Use the tf and impulse...
Consider a first-order system with input x(t) and output y(t). Let the time constant be the...
Consider a first-order system with input x(t) and output y(t). Let the time constant be the part of your birth date in the format of day, month (ddmm) in microseconds. Complete the following steps: 1. Write the differential equation representing the system. 2. Derive the transfer function H(s). A Note: Label all graphs appropriately. ddmm 3. Use H(s) with MATLAB to complete the following actions: • Find the poles are zeros. • Find the step response. • Find the impulse...
2. For the transfer functions in problem 1 (a)(d)(e), find the corresponding impulse response functions h(t) using par...
2. For the transfer functions in problem 1 (a)(d)(e), find the corresponding impulse response functions h(t) using partial fraction expansion and determine the value of lim h(t) if the limit exists. Verify that lim- n(t)-0 for stable systems. (optional) After performing the partial fraction expansion by hand (required), yoiu are encouraged to use MATLAB to verify your results. MATLAB has a function called 'residue' that can calculate poles (pi) and residues (ci). For example, the following line will calculate the...
Problem 6 State space representation of motor - driven cart with inverted pendulum You are given...
Problem 6 State space representation of motor - driven cart with inverted pendulum You are given that the cart carrying the inverted pendulum shown in the figure below is driven by an electric motor powering one pair of wheels so that the whole cart, pendulum and all, becomes the load on the motor. z is the cart position, M is its mass, θ is the pendulum angle with respect to the vertical, I its length, and m its mass. The...
Solve these examples in detailed step wise EXAMPLE 3.4.5 Determine the partial-fraction expansion of the proper...
Solve these examples in detailed step wise
EXAMPLE 3.4.5 Determine the partial-fraction expansion of the proper function X(2) = 1- 1.52-1 +0.52-2 EXAMPLE 3.4.7 Determine the partial-fraction expansion of (1+z-1)(1 - 2-1)2 EXAMPLE 3.4.8 Determine the inverse z-transform of X (2) = 1-1.52-1 +0.52-? (a) ROC: Iz/ > 1 (b) ROC: Iz1 <0.5 (e) ROC: 0,5 < Iz <1 EXAMPLE 3.4.10 Determine the causal signal x(n) having the z-transform X(z) = (1 + 2-1) (1 - 2-1)2 EXAMPLE 3.5.2 A...
4. Consider the mechanical system shown below with a spring with stiffness, k (N/m), in parallel...
4. Consider the mechanical system shown below with a spring with stiffness, k (N/m), in parallel with a viscous damper with coefficient, h (Nós/m) and an externally applied force, Fexi(t) (N). u(t) a. Find the equation that relates the applied force, Fext(t) and the displacement, u(t). b. If the spring component has a stiffness of k = 75 N/m, the damper component has coefficient h = 50 N s/m and the externally applied force is a constant 4.5 N applied...
Using parsevals theorem and FT to find y(t) and its power (b) (4 pts) Fourier Series The input signal r(t) and impulse...
Using parsevals theorem and FT to find y(t) and its power
(b) (4 pts) Fourier Series The input signal r(t) and impulse response h(t) of an LTI system are as follows: z(t) = sin(2t)cos(t)-e131 + 2 and h(t) = sin(21) Use the Fourier Series method to find the output y(t) (c) (4 pts) Parseval's Identity and Theorem. Consider the system in the previous problem. Use Parseval's Identity to compute the power P of the output y(t). Use Parseval's Theorem to...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab to calculate the coefficients b) Simulate the response using Matlab (stem plot). Generate 50 points. (enter transfer function into Matlab and apply step input)
(42)1+ (z-0.5)z-0.9)(z-0.8) 3. The transfer function of a system is H(z) = a) Compute an analytical expression for the response y[n] if x[n] = u[n]. . Use Matlab...
problem 3:
I need help with #4 using Matlab.
4. Given that the input x(t) in problem 3 above is a step function of magnitude 2 [x = 2 u(t), find the output y() by fnding the inverse Laplace transform of Y (s) by the method of partial fraction expansion by MATLAB as explained on page 8 of Handout 2 (ilaplace command).
For the lever system shown, the input to the system is the displacement, y, and the angle θ is the output. The position θ 0 corresponds to the equilibrium position when y-0. The lever has an inertia I about the pivot. Assume small displacements. 3. ki Derive the equation of motion Find the transfer function for the system. Discuss whether or not this system has numerator dynamics and what affect this has on the response Use the tf and impulse...
Consider a first-order system with input x(t) and output y(t). Let the time constant be the part of your birth date in the format of day, month (ddmm) in microseconds. Complete the following steps: 1. Write the differential equation representing the system. 2. Derive the transfer function H(s). A Note: Label all graphs appropriately. ddmm 3. Use H(s) with MATLAB to complete the following actions: • Find the poles are zeros. • Find the step response. • Find the impulse...
2. For the transfer functions in problem 1 (a)(d)(e), find the corresponding impulse response functions h(t) using partial fraction expansion and determine the value of lim h(t) if the limit exists. Verify that lim- n(t)-0 for stable systems. (optional) After performing the partial fraction expansion by hand (required), yoiu are encouraged to use MATLAB to verify your results. MATLAB has a function called 'residue' that can calculate poles (pi) and residues (ci). For example, the following line will calculate the...
Problem 6 State space representation of motor - driven cart with inverted pendulum You are given that the cart carrying the inverted pendulum shown in the figure below is driven by an electric motor powering one pair of wheels so that the whole cart, pendulum and all, becomes the load on the motor. z is the cart position, M is its mass, θ is the pendulum angle with respect to the vertical, I its length, and m its mass. The...
Solve these examples in detailed step wise
EXAMPLE 3.4.5 Determine the partial-fraction expansion of the proper function X(2) = 1- 1.52-1 +0.52-2 EXAMPLE 3.4.7 Determine the partial-fraction expansion of (1+z-1)(1 - 2-1)2 EXAMPLE 3.4.8 Determine the inverse z-transform of X (2) = 1-1.52-1 +0.52-? (a) ROC: Iz/ > 1 (b) ROC: Iz1 <0.5 (e) ROC: 0,5 < Iz <1 EXAMPLE 3.4.10 Determine the causal signal x(n) having the z-transform X(z) = (1 + 2-1) (1 - 2-1)2 EXAMPLE 3.5.2 A...
4. Consider the mechanical system shown below with a spring with stiffness, k (N/m), in parallel with a viscous damper with coefficient, h (Nós/m) and an externally applied force, Fexi(t) (N). u(t) a. Find the equation that relates the applied force, Fext(t) and the displacement, u(t). b. If the spring component has a stiffness of k = 75 N/m, the damper component has coefficient h = 50 N s/m and the externally applied force is a constant 4.5 N applied...
Using parsevals theorem and FT to find y(t) and its power
(b) (4 pts) Fourier Series The input signal r(t) and impulse response h(t) of an LTI system are as follows: z(t) = sin(2t)cos(t)-e131 + 2 and h(t) = sin(21) Use the Fourier Series method to find the output y(t) (c) (4 pts) Parseval's Identity and Theorem. Consider the system in the previous problem. Use Parseval's Identity to compute the power P of the output y(t). Use Parseval's Theorem to...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
Most questions answered within 3 hours.
-
At a certain temperature, the equilibrium constant, Kc, for this
reaction is 53.3.
H2(g)+I2(g)−⇀↽−2HI(g)Kc=53.3
At this...
asked 54 minutes ago -
Question1 ) The STL provides similiar classes called stack and
queue, both of which gave functions...
asked 1 hour ago -
For Questions 1-4, assume you have 5 bits available:
1. For (positive) integers: What is the...
asked 1 hour ago -
convert grams into vloume with the density of water being at
.997514 g/cm^3 at 23.1 Celsuis...
asked 3 hours ago -
Foreman company obtained a $20,000, 6% loan on May 1, 2018.
Principal and interest will be...
asked 4 hours ago -
5. Problem 11.05 (Discounted Payback)
eBook
Project L costs $60,000, its expected cash inflows are $14,000
per...
asked 4 hours ago -
1. Which of the following is true about politics and health
organizations?
A. Health organizations are...
asked 4 hours ago -
A space vehicle is coasting at a constant velocity of 18.1 m/s
in the +y direction...
asked 5 hours ago -
5) Use the following balanced equation to answer questions
(a)-(i).
3 Cu(s) + 8 HNO3(aq) →...
asked 5 hours ago -
A three-year maturity bond with a 12% annual coupon rate is
currently traded at par $1000...
asked 5 hours ago -
1.
What is the minimum volume to use in the Spec 20 cuvette in order
to...
asked 6 hours ago -
A builder wants to install wall-to-wall carpeting in a living
room of length 8.87 m and...
asked 6 hours ago